749014738560 has 1536 divisors, whose sum is σ = 3048749383680. Its totient is φ = 167731200000.

The previous prime is 749014738543. The next prime is 749014738643. The reversal of 749014738560 is 65837410947.

749014738560 is a `hidden beast` number, since 7 + 4 + 9 + 0 + 1 + 4 + 73 + 8 + 560 = 666.

It is a super-2 number, since 2×749014738560² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 749014738497 and 749014738506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5717669695 + ... + 5717669825.

It is an arithmetic number, because the mean of its divisors is an integer number (1984862880).

Almost surely, 2^749014738560 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 749014738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524374691840).

749014738560 is an abundant number, since it is smaller than the sum of its proper divisors (2299734645120).

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

749014738560 is a wasteful number, since it uses less digits than its factorization.

749014738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 749014738560 in words is "seven hundred forty-nine billion, fourteen million, seven hundred thirty-eight thousand, five hundred sixty".