749878576128 has 528 divisors, whose sum is σ = 2504584742400. Its totient is φ = 213929164800.

The previous prime is 749878576081. The next prime is 749878576133. The reversal of 749878576128 is 821675878947.

749878576128 is a `hidden beast` number, since 7 + 49 + 8 + 7 + 8 + 576 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116275048 + ... + 116281496.

Almost surely, 2^749878576128 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 749878576128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252292371200).

749878576128 is an abundant number, since it is smaller than the sum of its proper divisors (1754706166272).

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

749878576128 is a wasteful number, since it uses less digits than its factorization.

749878576128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6554 (or 6533 counting only the distinct ones).

The product of its digits is 379330560, while the sum is 72.

It can be divided in two parts, 749878 and 576128, that added together give a triangular number (1326006 = T₁₆₂₈).

The spelling of 749878576128 in words is "seven hundred forty-nine billion, eight hundred seventy-eight million, five hundred seventy-six thousand, one hundred twenty-eight".