2378976344640 has 336 divisors, whose sum is σ = 9510149900160. Its totient is φ = 534549381120.

The previous prime is 2378976344623. The next prime is 2378976344651. The reversal of 2378976344640 is 464436798732.

2378976344640 is a `hidden beast` number, since 2 + 3 + 7 + 8 + 97 + 63 + 446 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189400 + ... + 2189480.

It is an arithmetic number, because the mean of its divisors is an integer number (28304017560).

Almost surely, 2^{2378976344640} is an apocalyptic number.

2378976344640 is a gapful number since it is divisible by the number (20) 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 2378976344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755074950080).

2378976344640 is an abundant number, since it is smaller than the sum of its proper divisors (7131173555520).

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

2378976344640 is a wasteful number, since it uses less digits than its factorization.

2378976344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000170 (or 2000157 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 2378976344640 in words is "two trillion, three hundred seventy-eight billion, nine hundred seventy-six million, three hundred forty-four thousand, six hundred forty".