496947121920 has 576 divisors, whose sum is σ = 1916245094400. Its totient is φ = 121489735680.

The previous prime is 496947121907. The next prime is 496947121943. The reversal of 496947121920 is 29121749694.

496947121920 is a `hidden beast` number, since 4 + 9 + 69 + 471 + 21 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20343634 + ... + 20368046.

It is an arithmetic number, because the mean of its divisors is an integer number (3326814400).

Almost surely, 2^496947121920 is an apocalyptic number.

496947121920 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 496947121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958122547200).

496947121920 is an abundant number, since it is smaller than the sum of its proper divisors (1419297972480).

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

496947121920 is a wasteful number, since it uses less digits than its factorization.

496947121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24493 (or 24473 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 496947121920 in words is "four hundred ninety-six billion, nine hundred forty-seven million, one hundred twenty-one thousand, nine hundred twenty".