5457767200704 has 1344 divisors, whose sum is σ = 20525823718400. Its totient is φ = 1428748554240.

The previous prime is 5457767200631. The next prime is 5457767200771. The reversal of 5457767200704 is 4070027677545.

5457767200704 is a `hidden beast` number, since 5 + 4 + 577 + 67 + 2 + 0 + 0 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14632083462 + ... + 14632083834.

Almost surely, 2^{5457767200704} is an apocalyptic number.

5457767200704 is a gapful number since it is divisible by the number (54) 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 5457767200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10262911859200).

5457767200704 is an abundant number, since it is smaller than the sum of its proper divisors (15068056517696).

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

5457767200704 is a wasteful number, since it uses less digits than its factorization.

5457767200704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 11524800, while the sum is 54.

The spelling of 5457767200704 in words is "five trillion, four hundred fifty-seven billion, seven hundred sixty-seven million, two hundred thousand, seven hundred four".