8102791574640 has 180 divisors, whose sum is σ = 31654630284264. Its totient is φ = 1852066637568.

The previous prime is 8102791574519. The next prime is 8102791574641. The reversal of 8102791574640 is 464751972018.

8102791574640 is a `hidden beast` number, since 8 + 1 + 0 + 2 + 7 + 9 + 1 + 574 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×8102791574640² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8102791574641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114800202 + ... + 114870761.

Almost surely, 2^{8102791574640} is an apocalyptic number.

8102791574640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8102791574640 is an abundant number, since it is smaller than the sum of its proper divisors (23551838709624).

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

8102791574640 is a wasteful number, since it uses less digits than its factorization.

8102791574640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229670996 (or 229670980 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 8102791574640 in words is "eight trillion, one hundred two billion, seven hundred ninety-one million, five hundred seventy-four thousand, six hundred forty".