61413617664 has 416 divisors, whose sum is σ = 212310720000. Its totient is φ = 17535909888.

The previous prime is 61413617621. The next prime is 61413617677. The reversal of 61413617664 is 46671631416.

61413617664 is a `hidden beast` number, since 6 + 1 + 413 + 6 + 176 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37932247 + ... + 37933865.

Almost surely, 2^61413617664 is an apocalyptic number.

61413617664 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 61413617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106155360000).

61413617664 is an abundant number, since it is smaller than the sum of its proper divisors (150897102336).

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

61413617664 is an equidigital number, since it uses as much as digits as its factorization.

61413617664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1631 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 61413617664 in words is "sixty-one billion, four hundred thirteen million, six hundred seventeen thousand, six hundred sixty-four".