8345107680000 has 1800 divisors, whose sum is σ = 34930698385968. Its totient is φ = 1757564928000.

The previous prime is 8345107679983. The next prime is 8345107680089. The reversal of 8345107680000 is 867015438.

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 199 ways as a sum of consecutive naturals, for example, 14982239722 + ... + 14982240278.

Almost surely, 2^{8345107680000} is an apocalyptic number.

8345107680000 is a gapful number since it is divisible by the number (80) 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 8345107680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17465349192984).

8345107680000 is an abundant number, since it is smaller than the sum of its proper divisors (26585590705968).

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

8345107680000 is an frugal number, since it uses more digits than its factorization.

8345107680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 8345107680000 in words is "eight trillion, three hundred forty-five billion, one hundred seven million, six hundred eighty thousand".