678998391552 has 1008 divisors, whose sum is σ = 2354429131488. Its totient is φ = 193491763200.

The previous prime is 678998391529. The next prime is 678998391557. The reversal of 678998391552 is 255193899876.

678998391552 is a `hidden beast` number, since 67 + 8 + 9 + 9 + 8 + 3 + 9 + 1 + 552 = 666.

It is a super-2 number, since 2×678998391552² (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 not an unprimeable number, because it can be changed into a prime (678998391557) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 4165634223 + ... + 4165634385.

It is an arithmetic number, because the mean of its divisors is an integer number (2335743186).

Almost surely, 2^678998391552 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 678998391552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177214565744).

678998391552 is an abundant number, since it is smaller than the sum of its proper divisors (1675430739936).

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

678998391552 is a wasteful number, since it uses less digits than its factorization.

678998391552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 299 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 72.

The spelling of 678998391552 in words is "six hundred seventy-eight billion, nine hundred ninety-eight million, three hundred ninety-one thousand, five hundred fifty-two".