6637022040 has 256 divisors, whose sum is σ = 22273574400. Its totient is φ = 1568563200.

The previous prime is 6637022039. The next prime is 6637022057. The reversal of 6637022040 is 402207366.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6637021989 and 6637022007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11191984 + ... + 11192576.

It is an arithmetic number, because the mean of its divisors is an integer number (87006150).

Almost surely, 2^6637022040 is an apocalyptic number.

6637022040 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 6637022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11136787200).

6637022040 is an abundant number, since it is smaller than the sum of its proper divisors (15636552360).

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

6637022040 is a wasteful number, since it uses less digits than its factorization.

6637022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 6637022040 is about 81467.9203122309. The cubic root of 6637022040 is about 1879.2782464106.

It can be divided in two parts, 66370 and 22040, that added together give a triangular number (88410 = T₄₂₀).

The spelling of 6637022040 in words is "six billion, six hundred thirty-seven million, twenty-two thousand, forty".