7813490688 has 480 divisors, whose sum is σ = 25607181600. Its totient is φ = 2364899328.

The previous prime is 7813490681. The next prime is 7813490761. The reversal of 7813490688 is 8860943187.

7813490688 is a `hidden beast` number, since 78 + 1 + 3 + 490 + 6 + 88 = 666.

It is a super-2 number, since 2×7813490688² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7813490681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116619231 + ... + 116619297.

It is an arithmetic number, because the mean of its divisors is an integer number (53348295).

Almost surely, 2^7813490688 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 7813490688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12803590800).

7813490688 is an abundant number, since it is smaller than the sum of its proper divisors (17793690912).

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

7813490688 is a wasteful number, since it uses less digits than its factorization.

7813490688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 7813490688 is about 88393.9516482887. The cubic root of 7813490688 is about 1984.3351844378.

It can be divided in two parts, 7813 and 490688, that added together give a triangular number (498501 = T₉₉₈).

The spelling of 7813490688 in words is "seven billion, eight hundred thirteen million, four hundred ninety thousand, six hundred eighty-eight".