753020472960 has 384 divisors, whose sum is σ = 2982361973760. Its totient is φ = 171503861760.

The previous prime is 753020472943. The next prime is 753020472961. The reversal of 753020472960 is 69274020357.

753020472960 is a `hidden beast` number, since 7 + 530 + 20 + 4 + 7 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (753020472961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11296689 + ... + 11363151.

It is an arithmetic number, because the mean of its divisors is an integer number (7766567640).

Almost surely, 2^753020472960 is an apocalyptic number.

753020472960 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 753020472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491180986880).

753020472960 is an abundant number, since it is smaller than the sum of its proper divisors (2229341500800).

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

753020472960 is a wasteful number, since it uses less digits than its factorization.

753020472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66776 (or 66761 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 753020472960 in words is "seven hundred fifty-three billion, twenty million, four hundred seventy-two thousand, nine hundred sixty".