6437670840 has 192 divisors, whose sum is σ = 22625516160. Its totient is φ = 1581281280.

The previous prime is 6437670829. The next prime is 6437670847. The reversal of 6437670840 is 480767346.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (6437670847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276450 + ... + 298830.

It is an arithmetic number, because the mean of its divisors is an integer number (117841230).

Almost surely, 2^6437670840 is an apocalyptic number.

6437670840 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 6437670840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11312758080).

6437670840 is an abundant number, since it is smaller than the sum of its proper divisors (16187845320).

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

6437670840 is a wasteful number, since it uses less digits than its factorization.

6437670840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22462 (or 22455 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 6437670840 is about 80235.0973078490. The cubic root of 6437670840 is about 1860.2711710084.

The spelling of 6437670840 in words is "six billion, four hundred thirty-seven million, six hundred seventy thousand, eight hundred forty".