497025175680 has 1920 divisors, whose sum is σ = 2127365856000. Its totient is φ = 110070005760.

The previous prime is 497025175637. The next prime is 497025175693. The reversal of 497025175680 is 86571520794.

497025175680 is a `hidden beast` number, since 4 + 9 + 70 + 2 + 5 + 1 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6291457881 + ... + 6291457959.

It is an arithmetic number, because the mean of its divisors is an integer number (1108003050).

Almost surely, 2^497025175680 is an apocalyptic number.

497025175680 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 497025175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063682928000).

497025175680 is an abundant number, since it is smaller than the sum of its proper divisors (1630340680320).

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

497025175680 is a wasteful number, since it uses less digits than its factorization.

497025175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 497025175680 in words is "four hundred ninety-seven billion, twenty-five million, one hundred seventy-five thousand, six hundred eighty".