6364925952 has 468 divisors, whose sum is σ = 22253701968. Its totient is φ = 1599897600.

The previous prime is 6364925933. The next prime is 6364926011. The reversal of 6364925952 is 2595294636.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

Its product of digits (3499200) is a multiple of the sum of its prime divisors (54).

It is a junction number, because it is equal to n+sod(n) for n = 6364925895 and 6364925904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205320177 + ... + 205320207.

Almost surely, 2^6364925952 is an apocalyptic number.

6364925952 is a gapful number since it is divisible by the number (62) 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 6364925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11126850984).

6364925952 is an abundant number, since it is smaller than the sum of its proper divisors (15888776016).

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

6364925952 is a wasteful number, since it uses less digits than its factorization.

6364925952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 54 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 51.

The square root of 6364925952 is about 79780.4860351201. The cubic root of 6364925952 is about 1853.2376664499.

The spelling of 6364925952 in words is "six billion, three hundred sixty-four million, nine hundred twenty-five thousand, nine hundred fifty-two".