8257761764096 has 72 divisors (see below), whose sum is σ = 17752672748160. Its totient is φ = 3810960654336.

The previous prime is 8257761764093. The next prime is 8257761764099. The reversal of 8257761764096 is 6904671677528.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8257761764093) and next prime (8257761764099).

It is not an unprimeable number, because it can be changed into a prime (8257761764093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43031816 + ... + 43223288.

It is an arithmetic number, because the mean of its divisors is an integer number (246564899280).

Almost surely, 2^{8257761764096} is an apocalyptic number.

It is an amenable number.

8257761764096 is an abundant number, since it is smaller than the sum of its proper divisors (9494910984064).

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

8257761764096 is a wasteful number, since it uses less digits than its factorization.

8257761764096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204461 (or 204447 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 68.

The spelling of 8257761764096 in words is "eight trillion, two hundred fifty-seven billion, seven hundred sixty-one million, seven hundred sixty-four thousand, ninety-six".