496216933920 has 192 divisors, whose sum is σ = 1740303895680. Its totient is φ = 132054451200.

The previous prime is 496216933897. The next prime is 496216933931. The reversal of 496216933920 is 29339612694.

496216933920 is a `hidden beast` number, since 4 + 9 + 621 + 6 + 9 + 3 + 3 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004150 + ... + 2238090.

It is an arithmetic number, because the mean of its divisors is an integer number (9064082790).

Almost surely, 2^496216933920 is an apocalyptic number.

496216933920 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 496216933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870151947840).

496216933920 is an abundant number, since it is smaller than the sum of its proper divisors (1244086961760).

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

496216933920 is a wasteful number, since it uses less digits than its factorization.

496216933920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234456 (or 234442 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 496216933920 in words is "four hundred ninety-six billion, two hundred sixteen million, nine hundred thirty-three thousand, nine hundred twenty".