454987975680 has 264 divisors, whose sum is σ = 1801740119712. Its totient is φ = 103997177856.

The previous prime is 454987975679. The next prime is 454987975693. The reversal of 454987975680 is 86579789454.

454987975680 is a `hidden beast` number, since 4 + 5 + 498 + 7 + 9 + 7 + 56 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 454987975599 and 454987975608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382717 + ... + 1027836.

Almost surely, 2^454987975680 is an apocalyptic number.

454987975680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454987975680 is an abundant number, since it is smaller than the sum of its proper divisors (1346752144032).

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

454987975680 is a wasteful number, since it uses less digits than its factorization.

454987975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410591 (or 1410570 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 454987975680 in words is "four hundred fifty-four billion, nine hundred eighty-seven million, nine hundred seventy-five thousand, six hundred eighty".