107627137040 has 80 divisors (see below), whose sum is σ = 263517121920. Its totient is φ = 40767390720.

The previous prime is 107627137027. The next prime is 107627137063. The reversal of 107627137040 is 40731726701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 107627136985 and 107627137003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3817877 + ... + 3845963.

It is an arithmetic number, because the mean of its divisors is an integer number (3293964024).

Almost surely, 2^107627137040 is an apocalyptic number.

107627137040 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 107627137040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131758560960).

107627137040 is an abundant number, since it is smaller than the sum of its proper divisors (155889984880).

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

107627137040 is a wasteful number, since it uses less digits than its factorization.

107627137040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30640 (or 30634 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 38.

The spelling of 107627137040 in words is "one hundred seven billion, six hundred twenty-seven million, one hundred thirty-seven thousand, forty".