107359472640 has 352 divisors, whose sum is σ = 413099665920. Its totient is φ = 23247323136.

The previous prime is 107359472617. The next prime is 107359472669. The reversal of 107359472640 is 46274953701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 107359472640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2016604 + ... + 2069156.

Almost surely, 2^107359472640 is an apocalyptic number.

107359472640 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 107359472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206549832960).

107359472640 is an abundant number, since it is smaller than the sum of its proper divisors (305740193280).

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

107359472640 is a wasteful number, since it uses less digits than its factorization.

107359472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52607 (or 52589 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 107359472640 in words is "one hundred seven billion, three hundred fifty-nine million, four hundred seventy-two thousand, six hundred forty".