4965940592640 has 528 divisors, whose sum is σ = 17419074576696. Its totient is φ = 1308622848000.

The previous prime is 4965940592603. The next prime is 4965940592777. The reversal of 4965940592640 is 462950495694.

4965940592640 is a `hidden beast` number, since 4 + 96 + 59 + 405 + 92 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4584668921856 + 381271670784 = 2141184^2 + 617472^2 .

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 23 ways as a sum of consecutive naturals, for example, 9531555580 + ... + 9531556100.

Almost surely, 2^{4965940592640} is an apocalyptic number.

4965940592640 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 4965940592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709537288348).

4965940592640 is an abundant number, since it is smaller than the sum of its proper divisors (12453133984056).

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

4965940592640 is an frugal number, since it uses more digits than its factorization.

4965940592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 4965940592640 in words is "four trillion, nine hundred sixty-five billion, nine hundred forty million, five hundred ninety-two thousand, six hundred forty".