761337338256 has 720 divisors, whose sum is σ = 2621384363520. Its totient is φ = 204083712000.

The previous prime is 761337338197. The next prime is 761337338261. The reversal of 761337338256 is 652833733167.

761337338256 is a `hidden beast` number, since 7 + 6 + 13 + 373 + 3 + 8 + 256 = 666.

It is a super-2 number, since 2×761337338256² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 514069036 + ... + 514070516.

It is an arithmetic number, because the mean of its divisors is an integer number (3640811616).

Almost surely, 2^761337338256 is an apocalyptic number.

761337338256 is a gapful number since it is divisible by the number (76) 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 761337338256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310692181760).

761337338256 is an abundant number, since it is smaller than the sum of its proper divisors (1860047025264).

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

761337338256 is a wasteful number, since it uses less digits than its factorization.

761337338256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1576 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 761337338256 in words is "seven hundred sixty-one billion, three hundred thirty-seven million, three hundred thirty-eight thousand, two hundred fifty-six".