481462762536000 has 2688 divisors, whose sum is σ = 2124883902136320. Its totient is φ = 106309615104000.

The previous prime is 481462762535971. The next prime is 481462762536023. The reversal of 481462762536000 is 635267264184.

481462762536000 is a `hidden beast` number, since 4 + 8 + 1 + 4 + 6 + 2 + 7 + 6 + 25 + 3 + 600 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 270029591109 + ... + 270029592891.

Almost surely, 2^{481462762536000} is an apocalyptic number.

481462762536000 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 481462762536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062441951068160).

481462762536000 is an abundant number, since it is smaller than the sum of its proper divisors (1643421139600320).

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

481462762536000 is a wasteful number, since it uses less digits than its factorization.

481462762536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 481462762536000 in words is "four hundred eighty-one trillion, four hundred sixty-two billion, seven hundred sixty-two million, five hundred thirty-six thousand".