481790694672 has 480 divisors, whose sum is σ = 1620097449984. Its totient is φ = 130767436800.

The previous prime is 481790694667. The next prime is 481790694691. The reversal of 481790694672 is 276496097184.

481790694672 is a `hidden beast` number, since 4 + 81 + 7 + 90 + 6 + 9 + 467 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 880787103 + ... + 880787649.

Almost surely, 2^481790694672 is an apocalyptic number.

481790694672 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 481790694672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810048724992).

481790694672 is an abundant number, since it is smaller than the sum of its proper divisors (1138306755312).

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

481790694672 is a wasteful number, since it uses less digits than its factorization.

481790694672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 481790694672 in words is "four hundred eighty-one billion, seven hundred ninety million, six hundred ninety-four thousand, six hundred seventy-two".