61761160903680 has 352 divisors, whose sum is σ = 250843449108480. Its totient is φ = 14116836556800.

The previous prime is 61761160903597. The next prime is 61761160903681. The reversal of 61761160903680 is 8630906116716.

61761160903680 is a `hidden beast` number, since 6 + 17 + 6 + 11 + 609 + 0 + 3 + 6 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61761160903681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30944296 + ... + 32879655.

Almost surely, 2^{61761160903680} is an apocalyptic number.

61761160903680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61761160903680 is an abundant number, since it is smaller than the sum of its proper divisors (189082288204800).

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

61761160903680 is a wasteful number, since it uses less digits than its factorization.

61761160903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63823992 (or 63823968 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 61761160903680 in words is "sixty-one trillion, seven hundred sixty-one billion, one hundred sixty million, nine hundred three thousand, six hundred eighty".