677240150199840 has 288 divisors, whose sum is σ = 2452414338069696. Its totient is φ = 176397434035200.

The previous prime is 677240150199763. The next prime is 677240150199919. The reversal of 677240150199840 is 48991051042776.

677240150199840 is a `hidden beast` number, since 6 + 7 + 7 + 2 + 40 + 1 + 501 + 9 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×677240150199840³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200871511 + ... + 204215190.

It is an arithmetic number, because the mean of its divisors is an integer number (8515327562742).

Almost surely, 2^{677240150199840} is an apocalyptic number.

677240150199840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

677240150199840 is an abundant number, since it is smaller than the sum of its proper divisors (1775174187869856).

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

677240150199840 is a wasteful number, since it uses less digits than its factorization.

677240150199840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405086774 (or 405086754 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 677240150199840 in words is "six hundred seventy-seven trillion, two hundred forty billion, one hundred fifty million, one hundred ninety-nine thousand, eight hundred forty".