107678269440 has 528 divisors, whose sum is σ = 429228191808. Its totient is φ = 24461180928.

The previous prime is 107678269411. The next prime is 107678269483. The reversal of 107678269440 is 44962876701.

107678269440 is a `hidden beast` number, since 1 + 0 + 7 + 67 + 82 + 69 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660602799 + ... + 660602961.

Almost surely, 2^107678269440 is an apocalyptic number.

107678269440 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 107678269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214614095904).

107678269440 is an abundant number, since it is smaller than the sum of its proper divisors (321549922368).

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

107678269440 is an frugal number, since it uses more digits than its factorization.

107678269440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 107678269440 in words is "one hundred seven billion, six hundred seventy-eight million, two hundred sixty-nine thousand, four hundred forty".