65997862560 has 768 divisors, whose sum is σ = 272769638400. Its totient is φ = 14592614400.

The previous prime is 65997862531. The next prime is 65997862571. The reversal of 65997862560 is 6526879956.

65997862560 is a `hidden beast` number, since 6 + 5 + 9 + 9 + 7 + 8 + 62 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126675100 + ... + 126675620.

It is an arithmetic number, because the mean of its divisors is an integer number (355168800).

Almost surely, 2^65997862560 is an apocalyptic number.

65997862560 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 65997862560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136384819200).

65997862560 is an abundant number, since it is smaller than the sum of its proper divisors (206771775840).

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

65997862560 is a wasteful number, since it uses less digits than its factorization.

65997862560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 65997862560 in words is "sixty-five billion, nine hundred ninety-seven million, eight hundred sixty-two thousand, five hundred sixty".