107601974640 has 720 divisors, whose sum is σ = 411186896640. Its totient is φ = 26067640320.

The previous prime is 107601974621. The next prime is 107601974653. The reversal of 107601974640 is 46479106701.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 276611566 + ... + 276611954.

It is an arithmetic number, because the mean of its divisors is an integer number (571092912).

Almost surely, 2^107601974640 is an apocalyptic number.

107601974640 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 107601974640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205593448320).

107601974640 is an abundant number, since it is smaller than the sum of its proper divisors (303584922000).

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

107601974640 is an equidigital number, since it uses as much as digits as its factorization.

107601974640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 107601974640 in words is "one hundred seven billion, six hundred one million, nine hundred seventy-four thousand, six hundred forty".