651879065272320 has 1680 divisors, whose sum is σ = 2525924597353920. Its totient is φ = 160821053227008.

The previous prime is 651879065272283. The next prime is 651879065272423. The reversal of 651879065272320 is 23272560978156.

651879065272320 is a `hidden beast` number, since 6 + 5 + 1 + 8 + 79 + 0 + 6 + 527 + 2 + 32 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 59898833599 + ... + 59898844481.

It is an arithmetic number, because the mean of its divisors is an integer number (1503526546044).

Almost surely, 2^{651879065272320} is an apocalyptic number.

651879065272320 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 651879065272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262962298676960).

651879065272320 is an abundant number, since it is smaller than the sum of its proper divisors (1874045532081600).

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

651879065272320 is an equidigital number, since it uses as much as digits as its factorization.

651879065272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11010 (or 10969 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 651879065272320 in words is "six hundred fifty-one trillion, eight hundred seventy-nine billion, sixty-five million, two hundred seventy-two thousand, three hundred twenty".