753413469120 has 1344 divisors, whose sum is σ = 3201531661440. Its totient is φ = 165208522752.

The previous prime is 753413469089. The next prime is 753413469143. The reversal of 753413469120 is 21964314357.

753413469120 is a `hidden beast` number, since 7 + 53 + 4 + 13 + 469 + 120 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 689307294 + ... + 689308386.

It is an arithmetic number, because the mean of its divisors is an integer number (2382092010).

Almost surely, 2^753413469120 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 753413469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600765830720).

753413469120 is an abundant number, since it is smaller than the sum of its proper divisors (2448118192320).

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

753413469120 is a wasteful number, since it uses less digits than its factorization.

753413469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 753413469120 in words is "seven hundred fifty-three billion, four hundred thirteen million, four hundred sixty-nine thousand, one hundred twenty".