4960918638720 has 768 divisors, whose sum is σ = 19450533473280. Its totient is φ = 1198280355840.

The previous prime is 4960918638703. The next prime is 4960918638749. The reversal of 4960918638720 is 278368190694.

4960918638720 is a `hidden beast` number, since 4 + 9 + 609 + 18 + 6 + 3 + 8 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×4960918638720² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 484128637 + ... + 484138883.

It is an arithmetic number, because the mean of its divisors is an integer number (25326215460).

Almost surely, 2^{4960918638720} is an apocalyptic number.

4960918638720 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 4960918638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9725266736640).

4960918638720 is an abundant number, since it is smaller than the sum of its proper divisors (14489614834560).

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

4960918638720 is a wasteful number, since it uses less digits than its factorization.

4960918638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10575 (or 10551 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

It can be divided in two parts, 49609 and 18638720, that added together give a square (18688329 = 4323²).

The spelling of 4960918638720 in words is "four trillion, nine hundred sixty billion, nine hundred eighteen million, six hundred thirty-eight thousand, seven hundred twenty".