6837478989264 has 360 divisors, whose sum is σ = 24293982585600. Its totient is φ = 1775179929600.

The previous prime is 6837478989247. The next prime is 6837478989281. The reversal of 6837478989264 is 4629898747386.

6837478989264 is a `hidden beast` number, since 6 + 8 + 3 + 7 + 478 + 9 + 89 + 2 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (6837478989247) and next prime (6837478989281).

It is a super-2 number, since 2×6837478989264² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 186182424 + ... + 186219144.

It is an arithmetic number, because the mean of its divisors is an integer number (67483284960).

Almost surely, 2^{6837478989264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6837478989264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12146991292800).

6837478989264 is an abundant number, since it is smaller than the sum of its proper divisors (17456503596336).

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

6837478989264 is a wasteful number, since it uses less digits than its factorization.

6837478989264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39159 (or 39143 counting only the distinct ones).

The product of its digits is 7023034368, while the sum is 81.

The spelling of 6837478989264 in words is "six trillion, eight hundred thirty-seven billion, four hundred seventy-eight million, nine hundred eighty-nine thousand, two hundred sixty-four".