678981522240 has 504 divisors, whose sum is σ = 2723426465760. Its totient is φ = 154811897856.

The previous prime is 678981522223. The next prime is 678981522269. The reversal of 678981522240 is 42225189876.

678981522240 is a `hidden beast` number, since 6 + 7 + 8 + 98 + 1 + 522 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×678981522240² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 59123539 + ... + 59135021.

It is an arithmetic number, because the mean of its divisors is an integer number (5403623940).

Almost surely, 2^678981522240 is an apocalyptic number.

678981522240 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 678981522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361713232880).

678981522240 is an abundant number, since it is smaller than the sum of its proper divisors (2044444943520).

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

678981522240 is a wasteful number, since it uses less digits than its factorization.

678981522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11939 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 678981522240 in words is "six hundred seventy-eight billion, nine hundred eighty-one million, five hundred twenty-two thousand, two hundred forty".