7661162496 has 208 divisors, whose sum is σ = 22200886400. Its totient is φ = 2335703040.

The previous prime is 7661162491. The next prime is 7661162513. The reversal of 7661162496 is 6942611667.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7661162491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31788936 + ... + 31789176.

Almost surely, 2^7661162496 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 7661162496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11100443200).

7661162496 is an abundant number, since it is smaller than the sum of its proper divisors (14539723904).

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

7661162496 is a wasteful number, since it uses less digits than its factorization.

7661162496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 458 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 7661162496 is about 87528.0669042793. The cubic root of 7661162496 is about 1971.3552388001.

The spelling of 7661162496 in words is "seven billion, six hundred sixty-one million, one hundred sixty-two thousand, four hundred ninety-six".