35732000640 has 256 divisors, whose sum is σ = 130468216320. Its totient is φ = 8148393984.

The previous prime is 35732000627. The next prime is 35732000669. The reversal of 35732000640 is 4600023753.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35732000598 and 35732000607.

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, 6273634 + ... + 6279326.

It is an arithmetic number, because the mean of its divisors is an integer number (509641470).

Almost surely, 2^35732000640 is an apocalyptic number.

35732000640 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 35732000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65234108160).

35732000640 is an abundant number, since it is smaller than the sum of its proper divisors (94736215680).

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

35732000640 is a wasteful number, since it uses less digits than its factorization.

35732000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6189 (or 6177 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The spelling of 35732000640 in words is "thirty-five billion, seven hundred thirty-two million, six hundred forty", and thus it is an aban number.