455057766720 has 1120 divisors, whose sum is σ = 1737599060736. Its totient is φ = 112870195200.

The previous prime is 455057766719. The next prime is 455057766733. The reversal of 455057766720 is 27667750554.

455057766720 is a `hidden beast` number, since 4 + 5 + 5 + 0 + 577 + 6 + 67 + 2 + 0 = 666.

455057766720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2791765359 + ... + 2791765521.

Almost surely, 2^455057766720 is an apocalyptic number.

455057766720 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 455057766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868799530368).

455057766720 is an abundant number, since it is smaller than the sum of its proper divisors (1282541294016).

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

455057766720 is a wasteful number, since it uses less digits than its factorization.

455057766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 455057766720 in words is "four hundred fifty-five billion, fifty-seven million, seven hundred sixty-six thousand, seven hundred twenty".