35757442672 has 80 divisors (see below), whose sum is σ = 80883712000. Its totient is φ = 15307427520.

The previous prime is 35757442639. The next prime is 35757442717. The reversal of 35757442672 is 27624475753.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5698897 + ... + 5705167.

It is an arithmetic number, because the mean of its divisors is an integer number (1011046400).

Almost surely, 2^35757442672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35757442672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40441856000).

35757442672 is an abundant number, since it is smaller than the sum of its proper divisors (45126269328).

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

35757442672 is a wasteful number, since it uses less digits than its factorization.

35757442672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7339 (or 7319 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 52.

The spelling of 35757442672 in words is "thirty-five billion, seven hundred fifty-seven million, four hundred forty-two thousand, six hundred seventy-two".