6944977536 has 384 divisors, whose sum is σ = 22776681600. Its totient is φ = 1833861120.

The previous prime is 6944977493. The next prime is 6944977553. The reversal of 6944977536 is 6357794496.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (34292160) is a multiple of the sum of its prime divisors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 6944977536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131037286 + ... + 131037338.

It is an arithmetic number, because the mean of its divisors is an integer number (59314275).

Almost surely, 2^6944977536 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 6944977536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11388340800).

6944977536 is an abundant number, since it is smaller than the sum of its proper divisors (15831704064).

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

6944977536 is a wasteful number, since it uses less digits than its factorization.

6944977536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 135 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 60.

The square root of 6944977536 is about 83336.5318212847. The cubic root of 6944977536 is about 1907.9058886728.

The spelling of 6944977536 in words is "six billion, nine hundred forty-four million, nine hundred seventy-seven thousand, five hundred thirty-six".