627488678355840 has 768 divisors, whose sum is σ = 2564384030208000. Its totient is φ = 138336804716544.

The previous prime is 627488678355823. The next prime is 627488678355859. The reversal of 627488678355840 is 48553876884726.

627488678355840 is a `hidden beast` number, since 6 + 2 + 7 + 48 + 86 + 78 + 355 + 84 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 627488678355840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1130416281 + ... + 1130971239.

It is an arithmetic number, because the mean of its divisors is an integer number (3339041706000).

Almost surely, 2^{627488678355840} is an apocalyptic number.

627488678355840 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 627488678355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282192015104000).

627488678355840 is an abundant number, since it is smaller than the sum of its proper divisors (1936895351852160).

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

627488678355840 is a wasteful number, since it uses less digits than its factorization.

627488678355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555987 (or 555972 counting only the distinct ones).

The product of its (nonzero) digits is 17340825600, while the sum is 81.

The spelling of 627488678355840 in words is "six hundred twenty-seven trillion, four hundred eighty-eight billion, six hundred seventy-eight million, three hundred fifty-five thousand, eight hundred forty".