75944123640 has 1024 divisors, whose sum is σ = 330448896000. Its totient is φ = 15054336000.

The previous prime is 75944123621. The next prime is 75944123713. The reversal of 75944123640 is 4632144957.

75944123640 is a `hidden beast` number, since 7 + 594 + 4 + 12 + 3 + 6 + 40 = 666.

It is a super-4 number, since 4×75944123640⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 229438275 + ... + 229438605.

It is an arithmetic number, because the mean of its divisors is an integer number (322704000).

Almost surely, 2^75944123640 is an apocalyptic number.

75944123640 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 75944123640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165224448000).

75944123640 is an abundant number, since it is smaller than the sum of its proper divisors (254504772360).

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

75944123640 is a wasteful number, since it uses less digits than its factorization.

75944123640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 75944123640 in words is "seventy-five billion, nine hundred forty-four million, one hundred twenty-three thousand, six hundred forty".