6352992000 has 864 divisors, whose sum is σ = 25534629120. Its totient is φ = 1567641600.

The previous prime is 6352991977. The next prime is 6352992013. The reversal of 6352992000 is 2992536.

It is a tau number, because it is divible by the number of its divisors (864).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147743979 + ... + 147744021.

Almost surely, 2^6352992000 is an apocalyptic number.

6352992000 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 6352992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767314560).

6352992000 is an abundant number, since it is smaller than the sum of its proper divisors (19181637120).

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

6352992000 is an equidigital number, since it uses as much as digits as its factorization.

6352992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 6352992000 is about 79705.6585193297. The cubic root of 6352992000 is about 1852.0786958460.

The spelling of 6352992000 in words is "six billion, three hundred fifty-two million, nine hundred ninety-two thousand".