57642267000 has 128 divisors (see below), whose sum is σ = 179939672640. Its totient is φ = 15363084800.

The previous prime is 57642266999. The next prime is 57642267103. The reversal of 57642267000 is 76224675.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 57642267000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7427122 + ... + 7434878.

Almost surely, 2^57642267000 is an apocalyptic number.

57642267000 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 57642267000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89969836320).

57642267000 is an abundant number, since it is smaller than the sum of its proper divisors (122297405640).

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

57642267000 is a wasteful number, since it uses less digits than its factorization.

57642267000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10258 (or 10244 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 57642267000 in words is "fifty-seven billion, six hundred forty-two million, two hundred sixty-seven thousand".