6372645840 has 480 divisors, whose sum is σ = 25650608256. Its totient is φ = 1453178880.

The previous prime is 6372645817. The next prime is 6372645841. The reversal of 6372645840 is 485462736.

6372645840 is a `hidden beast` number, since 6 + 3 + 7 + 2 + 64 + 584 + 0 = 666.

It is a super-2 number, since 2×6372645840² = 81221230004138611200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6372645841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3634404 + ... + 3636156.

Almost surely, 2^6372645840 is an apocalyptic number.

6372645840 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 6372645840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825304128).

6372645840 is an abundant number, since it is smaller than the sum of its proper divisors (19277962416).

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

6372645840 is a wasteful number, since it uses less digits than its factorization.

6372645840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 6372645840 is about 79828.8534303230. The cubic root of 6372645840 is about 1853.9866150415.

The spelling of 6372645840 in words is "six billion, three hundred seventy-two million, six hundred forty-five thousand, eight hundred forty".