496409186437632 has 960 divisors, whose sum is σ = 1678982568595200. Its totient is φ = 144457393766400.

The previous prime is 496409186437621. The next prime is 496409186437657. The reversal of 496409186437632 is 236734681904694.

496409186437632 is a `hidden beast` number, since 4 + 9 + 6 + 4 + 0 + 9 + 186 + 437 + 6 + 3 + 2 = 666.

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

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, 4782264132 + ... + 4782367932.

It is an arithmetic number, because the mean of its divisors is an integer number (1748940175620).

Almost surely, 2^{496409186437632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496409186437632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839491284297600).

496409186437632 is an abundant number, since it is smaller than the sum of its proper divisors (1182573382157568).

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

496409186437632 is a wasteful number, since it uses less digits than its factorization.

496409186437632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103966 (or 103931 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 496409186437632 in words is "four hundred ninety-six trillion, four hundred nine billion, one hundred eighty-six million, four hundred thirty-seven thousand, six hundred thirty-two".