10352670720 has 384 divisors, whose sum is σ = 39098142720. Its totient is φ = 2288517120.

The previous prime is 10352670709. The next prime is 10352670767. The reversal of 10352670720 is 2707625301.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 6665464 + ... + 6667016.

It is an arithmetic number, because the mean of its divisors is an integer number (101818080).

Almost surely, 2^10352670720 is an apocalyptic number.

10352670720 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 10352670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19549071360).

10352670720 is an abundant number, since it is smaller than the sum of its proper divisors (28745472000).

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

10352670720 is a wasteful number, since it uses less digits than its factorization.

10352670720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 10352670720 in words is "ten billion, three hundred fifty-two million, six hundred seventy thousand, seven hundred twenty".