6766924032 has 648 divisors, whose sum is σ = 23748990720. Its totient is φ = 1916006400.

The previous prime is 6766924013. The next prime is 6766924033. The reversal of 6766924032 is 2304296676.

It is a tau number, because it is divible by the number of its divisors (648).

It is not an unprimeable number, because it can be changed into a prime (6766924033) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 218287857 + ... + 218287887.

Almost surely, 2^6766924032 is an apocalyptic number.

6766924032 is a gapful number since it is divisible by the number (62) 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 6766924032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874495360).

6766924032 is an abundant number, since it is smaller than the sum of its proper divisors (16982066688).

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

6766924032 is a wasteful number, since it uses less digits than its factorization.

6766924032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 6766924032 is about 82261.3155255859. The cubic root of 6766924032 is about 1891.4597339680.

The spelling of 6766924032 in words is "six billion, seven hundred sixty-six million, nine hundred twenty-four thousand, thirty-two".