75627336960 has 1728 divisors, whose sum is σ = 344267159040. Its totient is φ = 15606743040.

The previous prime is 75627336947. The next prime is 75627337039. The reversal of 75627336960 is 6963372657.

75627336960 is a `hidden beast` number, since 7 + 5 + 6 + 273 + 369 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×75627336960² (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 junction number, because it is equal to n+sod(n) for n = 75627336897 and 75627336906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1065173725 + ... + 1065173795.

It is an arithmetic number, because the mean of its divisors is an integer number (199228680).

Almost surely, 2^75627336960 is an apocalyptic number.

75627336960 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 75627336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172133579520).

75627336960 is an abundant number, since it is smaller than the sum of its proper divisors (268639822080).

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

75627336960 is a wasteful number, since it uses less digits than its factorization.

75627336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 75627336960 in words is "seventy-five billion, six hundred twenty-seven million, three hundred thirty-six thousand, nine hundred sixty".