61479247414464 has 336 divisors, whose sum is σ = 197573023964160. Its totient is φ = 18113863403520.

The previous prime is 61479247414447. The next prime is 61479247414511. The reversal of 61479247414464 is 46441474297416.

61479247414464 is a `hidden beast` number, since 6 + 1 + 4 + 7 + 92 + 4 + 74 + 14 + 464 = 666.

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, 337256527 + ... + 337438769.

Almost surely, 2^{61479247414464} is an apocalyptic number.

61479247414464 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 61479247414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98786511982080).

61479247414464 is an abundant number, since it is smaller than the sum of its proper divisors (136093776549696).

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

61479247414464 is a wasteful number, since it uses less digits than its factorization.

61479247414464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183748 (or 183735 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 61479247414464 in words is "sixty-one trillion, four hundred seventy-nine billion, two hundred forty-seven million, four hundred fourteen thousand, four hundred sixty-four".