652292222400 has 3360 divisors, whose sum is σ = 3226863467520. Its totient is φ = 125411328000.

The previous prime is 652292222399. The next prime is 652292222411. The reversal of 652292222400 is 4222292256.

652292222400 is a `hidden beast` number, since 6 + 5 + 2 + 29 + 2 + 222 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9187214365 + ... + 9187214435.

It is an arithmetic number, because the mean of its divisors is an integer number (960376032).

Almost surely, 2^652292222400 is an apocalyptic number.

652292222400 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 652292222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613431733760).

652292222400 is an abundant number, since it is smaller than the sum of its proper divisors (2574571245120).

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

652292222400 is a wasteful number, since it uses less digits than its factorization.

652292222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 652292222400 in words is "six hundred fifty-two billion, two hundred ninety-two million, two hundred twenty-two thousand, four hundred".