749312640 has 256 divisors, whose sum is σ = 2685945600. Its totient is φ = 197406720.

The previous prime is 749312639. The next prime is 749312659. The reversal of 749312640 is 46213947.

749312640 is a `hidden beast` number, since 7 + 4 + 9 + 3 + 1 + 2 + 640 = 666.

It is a super-2 number, since 2×749312640² = 1122938864927539200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 749312595 and 749312604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1779630 + ... + 1780050.

It is an arithmetic number, because the mean of its divisors is an integer number (10491975).

Almost surely, 2^749312640 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 749312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342972800).

749312640 is an abundant number, since it is smaller than the sum of its proper divisors (1936632960).

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

749312640 is a wasteful number, since it uses less digits than its factorization.

749312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 749312640 is about 27373.5755793795. The cubic root of 749312640 is about 908.2826524669.

The spelling of 749312640 in words is "seven hundred forty-nine million, three hundred twelve thousand, six hundred forty".