378463518720 has 1224 divisors, whose sum is σ = 1599043131504. Its totient is φ = 85614133248.

The previous prime is 378463518707. The next prime is 378463518767. The reversal of 378463518720 is 27815364873.

It is a happy number.

378463518720 is a `hidden beast` number, since 37 + 8 + 463 + 51 + 87 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3901685712 + ... + 3901685808.

Almost surely, 2^378463518720 is an apocalyptic number.

378463518720 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 378463518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799521565752).

378463518720 is an abundant number, since it is smaller than the sum of its proper divisors (1220579612784).

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

378463518720 is an frugal number, since it uses more digits than its factorization.

378463518720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 378463518720 in words is "three hundred seventy-eight billion, four hundred sixty-three million, five hundred eighteen thousand, seven hundred twenty".