678116939028480 has 4608 divisors, whose sum is σ = 2985777220608000. Its totient is φ = 144331159633920.

The previous prime is 678116939028461. The next prime is 678116939028539. The reversal of 678116939028480 is 84820939611876.

678116939028480 is a `hidden beast` number, since 6 + 7 + 8 + 116 + 9 + 3 + 9 + 0 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×678116939028480² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 678116939028399 and 678116939028408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2837309368201 + ... + 2837309368439.

It is an arithmetic number, because the mean of its divisors is an integer number (647955126000).

Almost surely, 2^{678116939028480} is an apocalyptic number.

678116939028480 is a gapful number since it is divisible by the number (60) 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 678116939028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492888610304000).

678116939028480 is an abundant number, since it is smaller than the sum of its proper divisors (2307660281579520).

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

678116939028480 is a wasteful number, since it uses less digits than its factorization.

678116939028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 678116939028480 in words is "six hundred seventy-eight trillion, one hundred sixteen billion, nine hundred thirty-nine million, twenty-eight thousand, four hundred eighty".