651879567360 has 1040 divisors, whose sum is σ = 2709108377280. Its totient is φ = 148697579520.

The previous prime is 651879567337. The next prime is 651879567407. The reversal of 651879567360 is 63765978156.

651879567360 is a `hidden beast` number, since 6 + 5 + 1 + 8 + 7 + 9 + 567 + 3 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1327656715 + ... + 1327657205.

Almost surely, 2^651879567360 is an apocalyptic number.

651879567360 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 651879567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354554188640).

651879567360 is an abundant number, since it is smaller than the sum of its proper divisors (2057228809920).

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

651879567360 is an frugal number, since it uses more digits than its factorization.

651879567360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 651879567360 in words is "six hundred fifty-one billion, eight hundred seventy-nine million, five hundred sixty-seven thousand, three hundred sixty".