75640735040 has 112 divisors (see below), whose sum is σ = 197635325328. Its totient is φ = 27401846784.

The previous prime is 75640735033. The next prime is 75640735073. The reversal of 75640735040 is 4053704657.

It can be written as a sum of positive squares in 8 ways, for example, as 2534464 + 75638200576 = 1592^2 + 275024^2 .

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, 48944 + ... + 392016.

It is an arithmetic number, because the mean of its divisors is an integer number (1764601119).

Almost surely, 2^75640735040 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 75640735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98817662664).

75640735040 is an abundant number, since it is smaller than the sum of its proper divisors (121994590288).

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

75640735040 is a wasteful number, since it uses less digits than its factorization.

75640735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343156 (or 343146 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 41.

The spelling of 75640735040 in words is "seventy-five billion, six hundred forty million, seven hundred thirty-five thousand, forty".