75641338500 has 768 divisors, whose sum is σ = 295138142208. Its totient is φ = 14598144000.

The previous prime is 75641338489. The next prime is 75641338543. The reversal of 75641338500 is 583314657.

It is a super-2 number, since 2×75641338500² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 85858060 + ... + 85858940.

It is an arithmetic number, because the mean of its divisors is an integer number (384294456).

Almost surely, 2^75641338500 is an apocalyptic number.

75641338500 is a gapful number since it is divisible by the number (70) 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 75641338500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147569071104).

75641338500 is an abundant number, since it is smaller than the sum of its proper divisors (219496803708).

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

75641338500 is a wasteful number, since it uses less digits than its factorization.

75641338500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 75641338500 in words is "seventy-five billion, six hundred forty-one million, three hundred thirty-eight thousand, five hundred".