651963434092992 has 896 divisors, whose sum is σ = 2275920551731200. Its totient is φ = 179143686070272.

The previous prime is 651963434092991. The next prime is 651963434093029. The reversal of 651963434092992 is 299290434369156.

651963434092992 is a `hidden beast` number, since 6 + 5 + 1 + 96 + 3 + 43 + 409 + 2 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 651963434092992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (651963434092991) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127510937028 + ... + 127510942140.

Almost surely, 2^{651963434092992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 651963434092992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137960275865600).

651963434092992 is an abundant number, since it is smaller than the sum of its proper divisors (1623957117638208).

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

651963434092992 is a wasteful number, since it uses less digits than its factorization.

651963434092992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8910 (or 8894 counting only the distinct ones).

The product of its (nonzero) digits is 680244480, while the sum is 72.

The spelling of 651963434092992 in words is "six hundred fifty-one trillion, nine hundred sixty-three billion, four hundred thirty-four million, ninety-two thousand, nine hundred ninety-two".