6348625920 has 576 divisors, whose sum is σ = 27116631360. Its totient is φ = 1337720832.

The previous prime is 6348625919. The next prime is 6348625931. The reversal of 6348625920 is 295268436.

6348625920 is a `hidden beast` number, since 63 + 486 + 25 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 8386182 + ... + 8386938.

It is an arithmetic number, because the mean of its divisors is an integer number (47077485).

Almost surely, 2^6348625920 is an apocalyptic number.

6348625920 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 6348625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13558315680).

6348625920 is an abundant number, since it is smaller than the sum of its proper divisors (20768005440).

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

6348625920 is a wasteful number, since it uses less digits than its factorization.

6348625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6348625920 is about 79678.2650413524. The cubic root of 6348625920 is about 1851.6543195891.

The spelling of 6348625920 in words is "six billion, three hundred forty-eight million, six hundred twenty-five thousand, nine hundred twenty".