496472796288 has 512 divisors, whose sum is σ = 1699029504000. Its totient is φ = 139797798912.

The previous prime is 496472796277. The next prime is 496472796289. The reversal of 496472796288 is 882697274694.

496472796288 is a `hidden beast` number, since 4 + 9 + 6 + 472 + 79 + 6 + 2 + 88 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (496472796289) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 540231093 + ... + 540232011.

It is an arithmetic number, because the mean of its divisors is an integer number (3318417000).

Almost surely, 2^496472796288 is an apocalyptic number.

496472796288 is a gapful number since it is divisible by the number (48) 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 496472796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849514752000).

496472796288 is an abundant number, since it is smaller than the sum of its proper divisors (1202556707712).

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

496472796288 is a wasteful number, since it uses less digits than its factorization.

496472796288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1231 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 496472796288 in words is "four hundred ninety-six billion, four hundred seventy-two million, seven hundred ninety-six thousand, two hundred eighty-eight".