107624073480 has 512 divisors, whose sum is σ = 425737728000. Its totient is φ = 21086023680.

The previous prime is 107624073439. The next prime is 107624073497. The reversal of 107624073480 is 84370426701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40201902 + ... + 40204578.

It is an arithmetic number, because the mean of its divisors is an integer number (831519000).

Almost surely, 2^107624073480 is an apocalyptic number.

107624073480 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 107624073480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212868864000).

107624073480 is an abundant number, since it is smaller than the sum of its proper divisors (318113654520).

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

107624073480 is a wasteful number, since it uses less digits than its factorization.

107624073480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 107624073480 in words is "one hundred seven billion, six hundred twenty-four million, seventy-three thousand, four hundred eighty".