75494307863520 has 864 divisors, whose sum is σ = 328029198850080. Its totient is φ = 15667335290880.

The previous prime is 75494307863479. The next prime is 75494307863563. The reversal of 75494307863520 is 2536870349457.

It is a happy number.

75494307863520 is a `hidden beast` number, since 7 + 5 + 4 + 9 + 4 + 30 + 78 + 6 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55279471 + ... + 56628689.

It is an arithmetic number, because the mean of its divisors is an integer number (379663424595).

Almost surely, 2^{75494307863520} is an apocalyptic number.

75494307863520 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 75494307863520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164014599425040).

75494307863520 is an abundant number, since it is smaller than the sum of its proper divisors (252534890986560).

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

75494307863520 is a wasteful number, since it uses less digits than its factorization.

75494307863520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349328 (or 1349310 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 75494307863520 in words is "seventy-five trillion, four hundred ninety-four billion, three hundred seven million, eight hundred sixty-three thousand, five hundred twenty".