496731401760 has 384 divisors, whose sum is σ = 1724433629184. Its totient is φ = 119191080960.

The previous prime is 496731401729. The next prime is 496731401779. The reversal of 496731401760 is 67104137694.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 498225582 + ... + 498226578.

It is an arithmetic number, because the mean of its divisors is an integer number (4490712576).

Almost surely, 2^496731401760 is an apocalyptic number.

496731401760 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 496731401760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862216814592).

496731401760 is an abundant number, since it is smaller than the sum of its proper divisors (1227702227424).

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

496731401760 is a wasteful number, since it uses less digits than its factorization.

496731401760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 496731401760 in words is "four hundred ninety-six billion, seven hundred thirty-one million, four hundred one thousand, seven hundred sixty".