496634729687040 has 768 divisors, whose sum is σ = 1855096974581760. Its totient is φ = 111062821109760.

The previous prime is 496634729687027. The next prime is 496634729687077. The reversal of 496634729687040 is 40786927436694.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37304487424 + ... + 37304500736.

It is an arithmetic number, because the mean of its divisors is an integer number (2415490852320).

Almost surely, 2^{496634729687040} is an apocalyptic number.

496634729687040 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 496634729687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927548487290880).

496634729687040 is an abundant number, since it is smaller than the sum of its proper divisors (1358462244894720).

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

496634729687040 is a wasteful number, since it uses less digits than its factorization.

496634729687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17088 (or 17068 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 75.

The spelling of 496634729687040 in words is "four hundred ninety-six trillion, six hundred thirty-four billion, seven hundred twenty-nine million, six hundred eighty-seven thousand, forty".