678274007040 has 960 divisors, whose sum is σ = 2832662448000. Its totient is φ = 150843949056.

The previous prime is 678274007023. The next prime is 678274007041. The reversal of 678274007040 is 40700472876.

678274007040 is a `hidden beast` number, since 67 + 82 + 7 + 400 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678274007041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18331729902 + ... + 18331729938.

It is an arithmetic number, because the mean of its divisors is an integer number (2950690050).

Almost surely, 2^678274007040 is an apocalyptic number.

678274007040 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 678274007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416331224000).

678274007040 is an abundant number, since it is smaller than the sum of its proper divisors (2154388440960).

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

678274007040 is an frugal number, since it uses more digits than its factorization.

678274007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 678274007040 in words is "six hundred seventy-eight billion, two hundred seventy-four million, seven thousand, forty".