496479024527472 has 1280 divisors, whose sum is σ = 1829689292390400. Its totient is φ = 125606253035520.

The previous prime is 496479024527459. The next prime is 496479024527491. The reversal of 496479024527472 is 274725420974694.

It is a happy number.

496479024527472 is a `hidden beast` number, since 4 + 9 + 6 + 4 + 7 + 9 + 0 + 24 + 527 + 4 + 72 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 496479024527472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 94874643768 + ... + 94874649000.

It is an arithmetic number, because the mean of its divisors is an integer number (1429444759680).

Almost surely, 2^{496479024527472} is an apocalyptic number.

496479024527472 is a gapful number since it is divisible by the number (42) 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 496479024527472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914844646195200).

496479024527472 is an abundant number, since it is smaller than the sum of its proper divisors (1333210267862928).

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

496479024527472 is a wasteful number, since it uses less digits than its factorization.

496479024527472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6951 (or 6939 counting only the distinct ones).

The product of its (nonzero) digits is 1706987520, while the sum is 72.

The spelling of 496479024527472 in words is "four hundred ninety-six trillion, four hundred seventy-nine billion, twenty-four million, five hundred twenty-seven thousand, four hundred seventy-two".