107064628800 has 168 divisors, whose sum is σ = 351410320800. Its totient is φ = 28538449920.

The previous prime is 107064628787. The next prime is 107064628859. The reversal of 107064628800 is 8826460701.

It is a super-2 number, since 2×107064628800² (a number of 23 digits) contains 22 as substring.

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, 21160671 + ... + 21165729.

It is an arithmetic number, because the mean of its divisors is an integer number (2091728100).

Almost surely, 2^107064628800 is an apocalyptic number.

107064628800 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 107064628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175705160400).

107064628800 is an abundant number, since it is smaller than the sum of its proper divisors (244345692000).

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

107064628800 is a wasteful number, since it uses less digits than its factorization.

107064628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9493 (or 9478 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 107064628800 in words is "one hundred seven billion, sixty-four million, six hundred twenty-eight thousand, eight hundred".