7702442496 has 480 divisors, whose sum is σ = 27037644480. Its totient is φ = 2158313472.

The previous prime is 7702442411. The next prime is 7702442533. The reversal of 7702442496 is 6942442077.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56222140 + ... + 56222276.

It is an arithmetic number, because the mean of its divisors is an integer number (56328426).

Almost surely, 2^7702442496 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 7702442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13518822240).

7702442496 is an abundant number, since it is smaller than the sum of its proper divisors (19335201984).

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

7702442496 is a wasteful number, since it uses less digits than its factorization.

7702442496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 7702442496 is about 87763.5601830281. The cubic root of 7702442496 is about 1974.8895945119.

The spelling of 7702442496 in words is "seven billion, seven hundred two million, four hundred forty-two thousand, four hundred ninety-six".