56742267600 has 360 divisors, whose sum is σ = 203028540312. Its totient is φ = 14664499200.

The previous prime is 56742267539. The next prime is 56742267613. The reversal of 56742267600 is 676224765.

56742267600 is a `hidden beast` number, since 567 + 4 + 2 + 26 + 7 + 60 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 31465083456 + 25277184144 = 177384^2 + 158988^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41690920 + ... + 41692280.

Almost surely, 2^56742267600 is an apocalyptic number.

56742267600 is a gapful number since it is divisible by the number (50) 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 56742267600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101514270156).

56742267600 is an abundant number, since it is smaller than the sum of its proper divisors (146286272712).

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

56742267600 is a wasteful number, since it uses less digits than its factorization.

56742267600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 56742267600 in words is "fifty-six billion, seven hundred forty-two million, two hundred sixty-seven thousand, six hundred".