75200661640 has 128 divisors (see below), whose sum is σ = 192721737600. Its totient is φ = 26179614720.

The previous prime is 75200661637. The next prime is 75200661691. The reversal of 75200661640 is 4616600257.

It is a happy number.

It is a super-2 number, since 2×75200661640² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 75200661640.

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, 2066644 + ... + 2102716.

It is an arithmetic number, because the mean of its divisors is an integer number (1505638575).

Almost surely, 2^75200661640 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 75200661640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96360868800).

75200661640 is an abundant number, since it is smaller than the sum of its proper divisors (117521075960).

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

75200661640 is a wasteful number, since it uses less digits than its factorization.

75200661640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36327 (or 36323 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 75200661640 in words is "seventy-five billion, two hundred million, six hundred sixty-one thousand, six hundred forty".