754747428960 has 384 divisors, whose sum is σ = 3020296688640. Its totient is φ = 172439027712.

The previous prime is 754747428943. The next prime is 754747428971. The reversal of 754747428960 is 69824747457.

754747428960 is a `hidden beast` number, since 7 + 5 + 474 + 74 + 2 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 101209552 + ... + 101217008.

It is an arithmetic number, because the mean of its divisors is an integer number (7865355960).

Almost surely, 2^754747428960 is an apocalyptic number.

754747428960 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 754747428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510148344320).

754747428960 is an abundant number, since it is smaller than the sum of its proper divisors (2265549259680).

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

754747428960 is a wasteful number, since it uses less digits than its factorization.

754747428960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10835 (or 10821 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 754747428960 in words is "seven hundred fifty-four billion, seven hundred forty-seven million, four hundred twenty-eight thousand, nine hundred sixty".