75676446720 has 1300 divisors, whose sum is σ = 333132229320. Its totient is φ = 16387080192.

The previous prime is 75676446697. The next prime is 75676446721. The reversal of 75676446720 is 2764467657.

75676446720 is a `hidden beast` number, since 7 + 567 + 6 + 4 + 4 + 6 + 72 + 0 = 666.

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 (75676446721) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 3982970871 + ... + 3982970889.

Almost surely, 2^75676446720 is an apocalyptic number.

75676446720 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 75676446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166566114660).

75676446720 is an abundant number, since it is smaller than the sum of its proper divisors (257455782600).

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

75676446720 is an frugal number, since it uses more digits than its factorization.

75676446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 75676446720 in words is "seventy-five billion, six hundred seventy-six million, four hundred forty-six thousand, seven hundred twenty".