378087147360 has 480 divisors, whose sum is σ = 1486543544640. Its totient is φ = 89857216512.

The previous prime is 378087147341. The next prime is 378087147379. The reversal of 378087147360 is 63741780873.

378087147360 is a `hidden beast` number, since 37 + 8 + 0 + 87 + 1 + 473 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (378087147341) and next prime (378087147379).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 378087147297 and 378087147306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4847229 + ... + 4924611.

It is an arithmetic number, because the mean of its divisors is an integer number (3096965718).

Almost surely, 2^378087147360 is an apocalyptic number.

378087147360 is a gapful number since it is divisible by the number (30) 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 378087147360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743271772320).

378087147360 is an abundant number, since it is smaller than the sum of its proper divisors (1108456397280).

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

378087147360 is a wasteful number, since it uses less digits than its factorization.

378087147360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77452 (or 77435 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 378087147360 in words is "three hundred seventy-eight billion, eighty-seven million, one hundred forty-seven thousand, three hundred sixty".