496690648842240 has 3024 divisors, whose sum is σ = 2024804994750720. Its totient is φ = 116435221217280.

The previous prime is 496690648842229. The next prime is 496690648842277. The reversal of 496690648842240 is 42248846096694.

496690648842240 is a `hidden beast` number, since 4 + 9 + 6 + 69 + 0 + 6 + 488 + 42 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6995642941405 + ... + 6995642941475.

It is an arithmetic number, because the mean of its divisors is an integer number (669578371280).

Almost surely, 2^{496690648842240} is an apocalyptic number.

496690648842240 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 496690648842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012402497375360).

496690648842240 is an abundant number, since it is smaller than the sum of its proper divisors (1528114345908480).

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

496690648842240 is an frugal number, since it uses more digits than its factorization.

496690648842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 72.

The spelling of 496690648842240 in words is "four hundred ninety-six trillion, six hundred ninety billion, six hundred forty-eight million, eight hundred forty-two thousand, two hundred forty".