75963911940 has 768 divisors, whose sum is σ = 292951572480. Its totient is φ = 15966720000.

The previous prime is 75963911927. The next prime is 75963911957. The reversal of 75963911940 is 4911936957.

75963911940 is a `hidden beast` number, since 7 + 596 + 3 + 9 + 1 + 1 + 9 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 360018435 + ... + 360018645.

It is an arithmetic number, because the mean of its divisors is an integer number (381447360).

Almost surely, 2^75963911940 is an apocalyptic number.

75963911940 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 75963911940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146475786240).

75963911940 is an abundant number, since it is smaller than the sum of its proper divisors (216987660540).

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

75963911940 is a wasteful number, since it uses less digits than its factorization.

75963911940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 75963911940 in words is "seventy-five billion, nine hundred sixty-three million, nine hundred eleven thousand, nine hundred forty".