2376680064 has 96 divisors (see below), whose sum is σ = 6939280320. Its totient is φ = 720192000.

The previous prime is 2376680023. The next prime is 2376680081. The reversal of 2376680064 is 4600866732.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2376679998 and 2376680025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20889 + ... + 72039.

It is an arithmetic number, because the mean of its divisors is an integer number (72284170).

Almost surely, 2^2376680064 is an apocalyptic number.

2376680064 is a gapful number since it is divisible by the number (24) 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 2376680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469640160).

2376680064 is an abundant number, since it is smaller than the sum of its proper divisors (4562600256).

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

2376680064 is a wasteful number, since it uses less digits than its factorization.

2376680064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51190 (or 51167 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 2376680064 is about 48751.2057697038. The cubic root of 2376680064 is about 1334.5153527019.

The spelling of 2376680064 in words is "two billion, three hundred seventy-six million, six hundred eighty thousand, sixty-four".