4932607680 has 1344 divisors, whose sum is σ = 23964595200. Its totient is φ = 898007040.

The previous prime is 4932607679. The next prime is 4932607753. The reversal of 4932607680 is 867062394.

4932607680 is a `hidden beast` number, since 4 + 9 + 32 + 607 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83603491 + ... + 83603549.

It is an arithmetic number, because the mean of its divisors is an integer number (17830800).

Almost surely, 2^4932607680 is an apocalyptic number.

4932607680 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 4932607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11982297600).

4932607680 is an abundant number, since it is smaller than the sum of its proper divisors (19031987520).

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

4932607680 is a wasteful number, since it uses less digits than its factorization.

4932607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4932607680 is about 70232.5257982368. The cubic root of 4932607680 is about 1702.2585528337.

The spelling of 4932607680 in words is "four billion, nine hundred thirty-two million, six hundred seven thousand, six hundred eighty".