753113155680 has 480 divisors, whose sum is σ = 2697795555840. Its totient is φ = 197825172480.

The previous prime is 753113155621. The next prime is 753113155693. The reversal of 753113155680 is 86551311357.

753113155680 is a `hidden beast` number, since 7 + 5 + 3 + 1 + 13 + 1 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 830333787 + ... + 830334693.

It is an arithmetic number, because the mean of its divisors is an integer number (5620407408).

Almost surely, 2^753113155680 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 753113155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348897777920).

753113155680 is an abundant number, since it is smaller than the sum of its proper divisors (1944682400160).

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

753113155680 is a wasteful number, since it uses less digits than its factorization.

753113155680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 753113155680 in words is "seven hundred fifty-three billion, one hundred thirteen million, one hundred fifty-five thousand, six hundred eighty".