749091414960 has 1440 divisors, whose sum is σ = 3226235650560. Its totient is φ = 157857030144.

The previous prime is 749091414959. The next prime is 749091415019. The reversal of 749091414960 is 69414190947.

749091414960 is a `hidden beast` number, since 7 + 4 + 9 + 0 + 9 + 141 + 496 + 0 = 666.

It is a super-2 number, since 2×749091414960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 749091414897 and 749091414906.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4184868151 + ... + 4184868329.

It is an arithmetic number, because the mean of its divisors is an integer number (2240441424).

Almost surely, 2^749091414960 is an apocalyptic number.

749091414960 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 749091414960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613117825280).

749091414960 is an abundant number, since it is smaller than the sum of its proper divisors (2477144235600).

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

749091414960 is a wasteful number, since it uses less digits than its factorization.

749091414960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 749091414960 in words is "seven hundred forty-nine billion, ninety-one million, four hundred fourteen thousand, nine hundred sixty".