4960612800 has 1008 divisors, whose sum is σ = 21698854240. Its totient is φ = 1094860800.

The previous prime is 4960612759. The next prime is 4960612807. The reversal of 4960612800 is 82160694.

4960612800 is a `hidden beast` number, since 49 + 606 + 1 + 2 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4960612807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67953564 + ... + 67953636.

Almost surely, 2^4960612800 is an apocalyptic number.

4960612800 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 4960612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10849427120).

4960612800 is an abundant number, since it is smaller than the sum of its proper divisors (16738241440).

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

4960612800 is a wasteful number, since it uses less digits than its factorization.

4960612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4960612800 is about 70431.6178999176. The cubic root of 4960612800 is about 1705.4740270603.

The spelling of 4960612800 in words is "four billion, nine hundred sixty million, six hundred twelve thousand, eight hundred".