651590990400 has 336 divisors, whose sum is σ = 2445682037760. Its totient is φ = 148781107200.

The previous prime is 651590990383. The next prime is 651590990419. The reversal of 651590990400 is 4099095156.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 651590990400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34228885 + ... + 34247915.

Almost surely, 2^651590990400 is an apocalyptic number.

651590990400 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 651590990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222841018880).

651590990400 is an abundant number, since it is smaller than the sum of its proper divisors (1794091047360).

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

651590990400 is a wasteful number, since it uses less digits than its factorization.

651590990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20082 (or 20067 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The spelling of 651590990400 in words is "six hundred fifty-one billion, five hundred ninety million, nine hundred ninety thousand, four hundred".