678191754240 has 2816 divisors, whose sum is σ = 3367429632000. Its totient is φ = 125597122560.

The previous prime is 678191754239. The next prime is 678191754257. The reversal of 678191754240 is 42457191876.

678191754240 is a `hidden beast` number, since 6 + 7 + 8 + 1 + 91 + 7 + 542 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-3 number, since 3×678191754240³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 23385922546 + ... + 23385922574.

Almost surely, 2^678191754240 is an apocalyptic number.

678191754240 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 678191754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683714816000).

678191754240 is an abundant number, since it is smaller than the sum of its proper divisors (2689237877760).

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

678191754240 is a wasteful number, since it uses less digits than its factorization.

678191754240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 678191754240 in words is "six hundred seventy-eight billion, one hundred ninety-one million, seven hundred fifty-four thousand, two hundred forty".