2378165667840 has 768 divisors, whose sum is σ = 8627254272000. Its totient is φ = 621297008640.

The previous prime is 2378165667821. The next prime is 2378165667937. The reversal of 2378165667840 is 487665618732.

2378165667840 is a `hidden beast` number, since 2 + 378 + 165 + 6 + 67 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×2378165667840³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3125053060 + ... + 3125053820.

It is an arithmetic number, because the mean of its divisors is an integer number (11233404000).

Almost surely, 2^{2378165667840} is an apocalyptic number.

2378165667840 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 2378165667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313627136000).

2378165667840 is an abundant number, since it is smaller than the sum of its proper divisors (6249088604160).

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

2378165667840 is a wasteful number, since it uses less digits than its factorization.

2378165667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 2378165667840 in words is "two trillion, three hundred seventy-eight billion, one hundred sixty-five million, six hundred sixty-seven thousand, eight hundred forty".