107634492648 has 384 divisors, whose sum is σ = 334183449600. Its totient is φ = 31120588800.

The previous prime is 107634492629. The next prime is 107634492659. The reversal of 107634492648 is 846294436701.

107634492648 is a `hidden beast` number, since 10 + 76 + 34 + 492 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 107634492594 and 107634492603.

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, 66894468 + ... + 66896076.

It is an arithmetic number, because the mean of its divisors is an integer number (870269400).

Almost surely, 2^107634492648 is an apocalyptic number.

107634492648 is a gapful number since it is divisible by the number (18) 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 107634492648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167091724800).

107634492648 is an abundant number, since it is smaller than the sum of its proper divisors (226548956952).

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

107634492648 is a wasteful number, since it uses less digits than its factorization.

107634492648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 107634492648 in words is "one hundred seven billion, six hundred thirty-four million, four hundred ninety-two thousand, six hundred forty-eight".