35725928640 has 112 divisors (see below), whose sum is σ = 113649130080. Its totient is φ = 9508495360.

The previous prime is 35725928629. The next prime is 35725928653. The reversal of 35725928640 is 4682952753.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 464446 + ... + 535874.

Almost surely, 2^35725928640 is an apocalyptic number.

35725928640 is a gapful number since it is divisible by the number (30) 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 35725928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56824565040).

35725928640 is an abundant number, since it is smaller than the sum of its proper divisors (77923201440).

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

35725928640 is a wasteful number, since it uses less digits than its factorization.

35725928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71970 (or 71960 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 35725928640 in words is "thirty-five billion, seven hundred twenty-five million, nine hundred twenty-eight thousand, six hundred forty".