756494259840 has 2048 divisors, whose sum is σ = 3299512320000. Its totient is φ = 161641267200.

The previous prime is 756494259839. The next prime is 756494259841. The reversal of 756494259840 is 48952494657.

756494259840 is a `hidden beast` number, since 7 + 56 + 494 + 2 + 5 + 98 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (756494259839) and next prime (756494259841).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (756494259841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3246756364 + ... + 3246756596.

It is an arithmetic number, because the mean of its divisors is an integer number (1611090000).

Almost surely, 2^756494259840 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 756494259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649756160000).

756494259840 is an abundant number, since it is smaller than the sum of its proper divisors (2543018060160).

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

756494259840 is a wasteful number, since it uses less digits than its factorization.

756494259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 756494259840 in words is "seven hundred fifty-six billion, four hundred ninety-four million, two hundred fifty-nine thousand, eight hundred forty".