8761797031680 has 1728 divisors, whose sum is σ = 39396284928000. Its totient is φ = 1781480816640.

The previous prime is 8761797031649. The next prime is 8761797031711. The reversal of 8761797031680 is 861307971678.

8761797031680 is a `hidden beast` number, since 8 + 7 + 6 + 179 + 70 + 316 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (8761797031649) and next prime (8761797031711).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2042850976 + ... + 2042855264.

It is an arithmetic number, because the mean of its divisors is an integer number (22798776000).

Almost surely, 2^{8761797031680} is an apocalyptic number.

8761797031680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8761797031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19698142464000).

8761797031680 is an abundant number, since it is smaller than the sum of its proper divisors (30634487896320).

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

8761797031680 is a wasteful number, since it uses less digits than its factorization.

8761797031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 8761797031680 in words is "eight trillion, seven hundred sixty-one billion, seven hundred ninety-seven million, thirty-one thousand, six hundred eighty".