75346368480 has 288 divisors, whose sum is σ = 267663771648. Its totient is φ = 20015424000.

The previous prime is 75346368443. The next prime is 75346368529. The reversal of 75346368480 is 8486364357.

75346368480 is a `hidden beast` number, since 7 + 534 + 6 + 3 + 68 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10532905 + ... + 10540055.

It is an arithmetic number, because the mean of its divisors is an integer number (929388096).

Almost surely, 2^75346368480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75346368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133831885824).

75346368480 is an abundant number, since it is smaller than the sum of its proper divisors (192317403168).

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

75346368480 is a wasteful number, since it uses less digits than its factorization.

75346368480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7452 (or 7432 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 75346368480 in words is "seventy-five billion, three hundred forty-six million, three hundred sixty-eight thousand, four hundred eighty".