6356631840 has 384 divisors, whose sum is σ = 23580813312. Its totient is φ = 1424424960.

The previous prime is 6356631769. The next prime is 6356631847. The reversal of 6356631840 is 481366536.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6356631792 and 6356631801.

It is not an unprimeable number, because it can be changed into a prime (6356631847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3287514 + ... + 3289446.

It is an arithmetic number, because the mean of its divisors is an integer number (61408368).

Almost surely, 2^6356631840 is an apocalyptic number.

6356631840 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 6356631840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11790406656).

6356631840 is an abundant number, since it is smaller than the sum of its proper divisors (17224181472).

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

6356631840 is a wasteful number, since it uses less digits than its factorization.

6356631840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 6356631840 is about 79728.4882585892. The cubic root of 6356631840 is about 1852.4323341053.

The spelling of 6356631840 in words is "six billion, three hundred fifty-six million, six hundred thirty-one thousand, eight hundred forty".