482137699680 has 2304 divisors, whose sum is σ = 2248671559680. Its totient is φ = 94810963968.

The previous prime is 482137699661. The next prime is 482137699763. The reversal of 482137699680 is 86996731284.

482137699680 is a `hidden beast` number, since 482 + 1 + 3 + 7 + 6 + 99 + 68 + 0 = 666.

It is a super-2 number, since 2×482137699680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3796359777 + ... + 3796359903.

It is an arithmetic number, because the mean of its divisors is an integer number (975985920).

Almost surely, 2^482137699680 is an apocalyptic number.

482137699680 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 482137699680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124335779840).

482137699680 is an abundant number, since it is smaller than the sum of its proper divisors (1766533860000).

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

482137699680 is a wasteful number, since it uses less digits than its factorization.

482137699680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 482137699680 in words is "four hundred eighty-two billion, one hundred thirty-seven million, six hundred ninety-nine thousand, six hundred eighty".