75606983970 has 128 divisors (see below), whose sum is σ = 210381373440. Its totient is φ = 17032204800.

The previous prime is 75606983929. The next prime is 75606983987. The reversal of 75606983970 is 7938960657.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9966799 + ... + 9974381.

It is an arithmetic number, because the mean of its divisors is an integer number (1643604480).

Almost surely, 2^75606983970 is an apocalyptic number.

75606983970 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75606983970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105190686720).

75606983970 is an abundant number, since it is smaller than the sum of its proper divisors (134774389470).

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

75606983970 is a wasteful number, since it uses less digits than its factorization.

75606983970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8280.

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 75606983970 in words is "seventy-five billion, six hundred six million, nine hundred eighty-three thousand, nine hundred seventy".