127770683040 has 2304 divisors, whose sum is σ = 628740403200. Its totient is φ = 24141680640.

The previous prime is 127770682997. The next prime is 127770683059. The reversal of 127770683040 is 40386077721.

127770683040 is a `hidden beast` number, since 1 + 277 + 70 + 6 + 8 + 304 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1907025087 + ... + 1907025153.

It is an arithmetic number, because the mean of its divisors is an integer number (272890800).

Almost surely, 2^127770683040 is an apocalyptic number.

127770683040 is a gapful number since it is divisible by the number (10) 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 127770683040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314370201600).

127770683040 is an abundant number, since it is smaller than the sum of its proper divisors (500969720160).

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

127770683040 is a wasteful number, since it uses less digits than its factorization.

127770683040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 127770683040 in words is "one hundred twenty-seven billion, seven hundred seventy million, six hundred eighty-three thousand, forty".