61820256348864 has 560 divisors, whose sum is σ = 198965047319808. Its totient is φ = 18866306875392.

The previous prime is 61820256348821. The next prime is 61820256348919. The reversal of 61820256348864 is 46884365202816.

61820256348864 is a `hidden beast` number, since 6 + 1 + 8 + 2 + 0 + 2 + 563 + 4 + 8 + 8 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14467645032 + ... + 14467649304.

Almost surely, 2^{61820256348864} is an apocalyptic number.

61820256348864 is a gapful number since it is divisible by the number (64) 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 61820256348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99482523659904).

61820256348864 is an abundant number, since it is smaller than the sum of its proper divisors (137144790970944).

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

61820256348864 is a wasteful number, since it uses less digits than its factorization.

61820256348864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6014 (or 5995 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 61820256348864 in words is "sixty-one trillion, eight hundred twenty billion, two hundred fifty-six million, three hundred forty-eight thousand, eight hundred sixty-four".