678756994272 has 1536 divisors, whose sum is σ = 2648687247360. Its totient is φ = 164521082880.

The previous prime is 678756994259. The next prime is 678756994283. The reversal of 678756994272 is 272499657876.

678756994272 is a `hidden beast` number, since 6 + 78 + 75 + 69 + 9 + 427 + 2 = 666.

It is a super-2 number, since 2×678756994272² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 678756994272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3445466878 + ... + 3445467074.

It is an arithmetic number, because the mean of its divisors is an integer number (1724405760).

Almost surely, 2^678756994272 is an apocalyptic number.

678756994272 is a gapful number since it is divisible by the number (62) 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 678756994272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324343623680).

678756994272 is an abundant number, since it is smaller than the sum of its proper divisors (1969930253088).

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

678756994272 is a wasteful number, since it uses less digits than its factorization.

678756994272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 72.

The spelling of 678756994272 in words is "six hundred seventy-eight billion, seven hundred fifty-six million, nine hundred ninety-four thousand, two hundred seventy-two".