4960964736 has 384 divisors, whose sum is σ = 18059059200. Its totient is φ = 1272029184.

The previous prime is 4960964719. The next prime is 4960964747. The reversal of 4960964736 is 6374690694.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4960964736² = 49222342223671099392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3878145 + ... + 3879423.

It is an arithmetic number, because the mean of its divisors is an integer number (47028800).

Almost surely, 2^4960964736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4960964736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9029529600).

4960964736 is an abundant number, since it is smaller than the sum of its proper divisors (13098094464).

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

4960964736 is a wasteful number, since it uses less digits than its factorization.

4960964736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 4960964736 is about 70434.1162789738. The cubic root of 4960964736 is about 1705.5143583350.

The spelling of 4960964736 in words is "four billion, nine hundred sixty million, nine hundred sixty-four thousand, seven hundred thirty-six".