57746346000 has 320 divisors, whose sum is σ = 214892960256. Its totient is φ = 13067520000.

The previous prime is 57746345999. The next prime is 57746346037. The reversal of 57746346000 is 64364775.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4235194 + ... + 4248806.

Almost surely, 2^57746346000 is an apocalyptic number.

57746346000 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 57746346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107446480128).

57746346000 is an abundant number, since it is smaller than the sum of its proper divisors (157146614256).

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

57746346000 is a wasteful number, since it uses less digits than its factorization.

57746346000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13747 (or 13731 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 57746346000 in words is "fifty-seven billion, seven hundred forty-six million, three hundred forty-six thousand".