75701993472 has 600 divisors, whose sum is σ = 268338137760. Its totient is φ = 20808990720.

The previous prime is 75701993453. The next prime is 75701993473. The reversal of 75701993472 is 27439910757.

75701993472 is a `hidden beast` number, since 7 + 5 + 70 + 19 + 93 + 472 = 666.

It is a super-2 number, since 2×75701993472² (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 (75701993473) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269401972 + ... + 269402252.

Almost surely, 2^75701993472 is an apocalyptic number.

75701993472 is a gapful number since it is divisible by the number (72) 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 75701993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134169068880).

75701993472 is an abundant number, since it is smaller than the sum of its proper divisors (192636144288).

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

75701993472 is an equidigital number, since it uses as much as digits as its factorization.

75701993472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 75701993472 in words is "seventy-five billion, seven hundred one million, nine hundred ninety-three thousand, four hundred seventy-two".