61477939445760 has 864 divisors, whose sum is σ = 222242570484480. Its totient is φ = 15703474176000.

The previous prime is 61477939445627. The next prime is 61477939445777. The reversal of 61477939445760 is 6754493977416.

It is a happy number.

61477939445760 is a `hidden beast` number, since 6 + 1 + 4 + 7 + 7 + 9 + 3 + 9 + 44 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 18467387776 + ... + 18467391104.

It is an arithmetic number, because the mean of its divisors is an integer number (257225197320).

Almost surely, 2^{61477939445760} is an apocalyptic number.

61477939445760 is a gapful number since it is divisible by the number (60) 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 61477939445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111121285242240).

61477939445760 is an abundant number, since it is smaller than the sum of its proper divisors (160764631038720).

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

61477939445760 is a wasteful number, since it uses less digits than its factorization.

61477939445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 72.

The spelling of 61477939445760 in words is "sixty-one trillion, four hundred seventy-seven billion, nine hundred thirty-nine million, four hundred forty-five thousand, seven hundred sixty".