61860262464 has 1260 divisors, whose sum is σ = 253904392368. Its totient is φ = 14718412800.

The previous prime is 61860262441. The next prime is 61860262483. The reversal of 61860262464 is 46426206816.

61860262464 is a `hidden beast` number, since 6 + 18 + 6 + 0 + 2 + 624 + 6 + 4 = 666.

It is a super-2 number, since 2×61860262464² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 472215679 + ... + 472215809.

Almost surely, 2^61860262464 is an apocalyptic number.

61860262464 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 61860262464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126952196184).

61860262464 is an abundant number, since it is smaller than the sum of its proper divisors (192044129904).

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

61860262464 is a wasteful number, since it uses less digits than its factorization.

61860262464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 61860262464 in words is "sixty-one billion, eight hundred sixty million, two hundred sixty-two thousand, four hundred sixty-four".