496738728000 has 672 divisors, whose sum is σ = 1878139560960. Its totient is φ = 125067571200.

The previous prime is 496738727993. The next prime is 496738728037. The reversal of 496738728000 is 827837694.

496738728000 is a `hidden beast` number, since 496 + 7 + 3 + 8 + 72 + 80 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130822102 + ... + 130825898.

Almost surely, 2^496738728000 is an apocalyptic number.

496738728000 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 496738728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939069780480).

496738728000 is an abundant number, since it is smaller than the sum of its proper divisors (1381400832960).

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

496738728000 is a wasteful number, since it uses less digits than its factorization.

496738728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 496738728000 in words is "four hundred ninety-six billion, seven hundred thirty-eight million, seven hundred twenty-eight thousand".