35750070720 has 756 divisors, whose sum is σ = 154994229000. Its totient is φ = 7537840128.

The previous prime is 35750070709. The next prime is 35750070721. The reversal of 35750070720 is 2707005753.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35750070721) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23848531 + ... + 23850029.

Almost surely, 2^35750070720 is an apocalyptic number.

35750070720 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 35750070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77497114500).

35750070720 is an abundant number, since it is smaller than the sum of its proper divisors (119244158280).

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

35750070720 is a wasteful number, since it uses less digits than its factorization.

35750070720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 36.

The spelling of 35750070720 in words is "thirty-five billion, seven hundred fifty million, seventy thousand, seven hundred twenty".