75408318720 has 1296 divisors, whose sum is σ = 327154464000. Its totient is φ = 15941173248.

The previous prime is 75408318707. The next prime is 75408318743. The reversal of 75408318720 is 2781380457.

75408318720 is a `hidden beast` number, since 7 + 540 + 8 + 3 + 1 + 87 + 20 = 666.

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 143 ways as a sum of consecutive naturals, for example, 847284436 + ... + 847284524.

It is an arithmetic number, because the mean of its divisors is an integer number (252434000).

Almost surely, 2^75408318720 is an apocalyptic number.

75408318720 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 75408318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163577232000).

75408318720 is an abundant number, since it is smaller than the sum of its proper divisors (251746145280).

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

75408318720 is a wasteful number, since it uses less digits than its factorization.

75408318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 75408318720 in words is "seventy-five billion, four hundred eight million, three hundred eighteen thousand, seven hundred twenty".