7813024128 has 640 divisors, whose sum is σ = 29373960000. Its totient is φ = 2060577792.

The previous prime is 7813024127. The next prime is 7813024133. The reversal of 7813024128 is 8214203187.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×7813024128² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7813024092 and 7813024101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7813024127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 601001850 + ... + 601001862.

Almost surely, 2^7813024128 is an apocalyptic number.

7813024128 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7813024128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14686980000).

7813024128 is an abundant number, since it is smaller than the sum of its proper divisors (21560935872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7813024128 is an frugal number, since it uses more digits than its factorization.

7813024128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7813024128 is about 88391.3125142963. The cubic root of 7813024128 is about 1984.2956873727.

Multiplying 7813024128 by its sum of digits (36), we get a cube (281268868608 = 6552³).

The spelling of 7813024128 in words is "seven billion, eight hundred thirteen million, twenty-four thousand, one hundred twenty-eight".