2453577432768 has 672 divisors, whose sum is σ = 8978101017600. Its totient is φ = 635080642560.

The previous prime is 2453577432739. The next prime is 2453577432829. The reversal of 2453577432768 is 8672347753542.

2453577432768 is a `hidden beast` number, since 2 + 4 + 5 + 357 + 7 + 4 + 3 + 276 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 680224821 + ... + 680228427.

Almost surely, 2^{2453577432768} is an apocalyptic number.

2453577432768 is a gapful number since it is divisible by the number (28) 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 2453577432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489050508800).

2453577432768 is an abundant number, since it is smaller than the sum of its proper divisors (6524523584832).

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

2453577432768 is a wasteful number, since it uses less digits than its factorization.

2453577432768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3943 counting only the distinct ones).

The product of its digits is 237081600, while the sum is 63.

The spelling of 2453577432768 in words is "two trillion, four hundred fifty-three billion, five hundred seventy-seven million, four hundred thirty-two thousand, seven hundred sixty-eight".