75087689040 has 640 divisors, whose sum is σ = 322742676480. Its totient is φ = 15622668288.

The previous prime is 75087688979. The next prime is 75087689041. The reversal of 75087689040 is 4098678057.

75087689040 is a `hidden beast` number, since 7 + 508 + 7 + 6 + 8 + 90 + 40 = 666.

It is a super-2 number, since 2×75087689040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75087689041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14346264 + ... + 14351496.

It is an arithmetic number, because the mean of its divisors is an integer number (504285432).

Almost surely, 2^75087689040 is an apocalyptic number.

75087689040 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 75087689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161371338240).

75087689040 is an abundant number, since it is smaller than the sum of its proper divisors (247654987440).

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

75087689040 is a wasteful number, since it uses less digits than its factorization.

75087689040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5348 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 75087689040 in words is "seventy-five billion, eighty-seven million, six hundred eighty-nine thousand, forty".