6352622640 has 1080 divisors, whose sum is σ = 29213598960. Its totient is φ = 1269789696.

The previous prime is 6352622531. The next prime is 6352622657. The reversal of 6352622640 is 462262536.

6352622640 is a `hidden beast` number, since 6 + 3 + 5 + 2 + 6 + 2 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a junction number, because it is equal to n+sod(n) for n = 6352622595 and 6352622604.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 334348551 + ... + 334348569.

Almost surely, 2^6352622640 is an apocalyptic number.

6352622640 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 6352622640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14606799480).

6352622640 is an abundant number, since it is smaller than the sum of its proper divisors (22860976320).

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

6352622640 is a wasteful number, since it uses less digits than its factorization.

6352622640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6352622640 is about 79703.3414606941. The cubic root of 6352622640 is about 1852.0428021524.

The spelling of 6352622640 in words is "six billion, three hundred fifty-two million, six hundred twenty-two thousand, six hundred forty".