75649791240 has 320 divisors, whose sum is σ = 283397875200. Its totient is φ = 17987069952.

The previous prime is 75649791233. The next prime is 75649791251. The reversal of 75649791240 is 4219794657.

75649791240 is a `hidden beast` number, since 7 + 564 + 9 + 79 + 1 + 2 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1010377 + ... + 1082663.

It is an arithmetic number, because the mean of its divisors is an integer number (885618360).

Almost surely, 2^75649791240 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 75649791240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141698937600).

75649791240 is an abundant number, since it is smaller than the sum of its proper divisors (207748083960).

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

75649791240 is a wasteful number, since it uses less digits than its factorization.

75649791240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72346 (or 72333 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 75649791240 in words is "seventy-five billion, six hundred forty-nine million, seven hundred ninety-one thousand, two hundred forty".