756735396480 has 1152 divisors, whose sum is σ = 3109177431360. Its totient is φ = 169073049600.

The previous prime is 756735396427. The next prime is 756735396503. The reversal of 756735396480 is 84693537657.

756735396480 is a `hidden beast` number, since 7 + 5 + 67 + 3 + 5 + 3 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3586423575 + ... + 3586423785.

Almost surely, 2^756735396480 is an apocalyptic number.

756735396480 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 756735396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554588715680).

756735396480 is an abundant number, since it is smaller than the sum of its proper divisors (2352442034880).

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

756735396480 is a wasteful number, since it uses less digits than its factorization.

756735396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 756735396480 in words is "seven hundred fifty-six billion, seven hundred thirty-five million, three hundred ninety-six thousand, four hundred eighty".