4932973680 has 80 divisors (see below), whose sum is σ = 15330652704. Its totient is φ = 1312153600.

The previous prime is 4932973679. The next prime is 4932973687. The reversal of 4932973680 is 863792394.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4932973687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70612 + ... + 121868.

Almost surely, 2^4932973680 is an apocalyptic number.

4932973680 is a gapful number since it is divisible by the number (40) 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 4932973680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665326352).

4932973680 is an abundant number, since it is smaller than the sum of its proper divisors (10397679024).

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

4932973680 is a wasteful number, since it uses less digits than its factorization.

4932973680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51674 (or 51668 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 4932973680 is about 70235.1313802430. The cubic root of 4932973680 is about 1702.3006543793.

The spelling of 4932973680 in words is "four billion, nine hundred thirty-two million, nine hundred seventy-three thousand, six hundred eighty".