7813536480 has 192 divisors, whose sum is σ = 27445158720. Its totient is φ = 2076162048.

The previous prime is 7813536427. The next prime is 7813536499. The reversal of 7813536480 is 846353187.

7813536480 is a `hidden beast` number, since 7 + 8 + 135 + 36 + 480 = 666.

It is a super-2 number, since 2×7813536480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1262674 + ... + 1268846.

It is an arithmetic number, because the mean of its divisors is an integer number (142943535).

Almost surely, 2^7813536480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7813536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13722579360).

7813536480 is an abundant number, since it is smaller than the sum of its proper divisors (19631622240).

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

7813536480 is a wasteful number, since it uses less digits than its factorization.

7813536480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6490 (or 6476 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7813536480 is about 88394.2106701564. The cubic root of 7813536480 is about 1984.3390609169.

The spelling of 7813536480 in words is "seven billion, eight hundred thirteen million, five hundred thirty-six thousand, four hundred eighty".