75465008640 has 640 divisors, whose sum is σ = 322515072000. Its totient is φ = 16339304448.

The previous prime is 75465008573. The next prime is 75465008681. The reversal of 75465008640 is 4680056457.

75465008640 is a `hidden beast` number, since 75 + 465 + 0 + 0 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9188856 + ... + 9197064.

It is an arithmetic number, because the mean of its divisors is an integer number (503929800).

Almost surely, 2^75465008640 is an apocalyptic number.

75465008640 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 75465008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161257536000).

75465008640 is an abundant number, since it is smaller than the sum of its proper divisors (247050063360).

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

75465008640 is a wasteful number, since it uses less digits than its factorization.

75465008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 75465008640 in words is "seventy-five billion, four hundred sixty-five million, eight thousand, six hundred forty".