378720074880 has 1920 divisors, whose sum is σ = 1692828720000. Its totient is φ = 80618582016.

The previous prime is 378720074869. The next prime is 378720074897. The reversal of 378720074880 is 88470027873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×378720074880² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6418984291 + ... + 6418984349.

It is an arithmetic number, because the mean of its divisors is an integer number (881681625).

Almost surely, 2^378720074880 is an apocalyptic number.

378720074880 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 378720074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846414360000).

378720074880 is an abundant number, since it is smaller than the sum of its proper divisors (1314108645120).

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

378720074880 is an equidigital number, since it uses as much as digits as its factorization.

378720074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 378720074880 in words is "three hundred seventy-eight billion, seven hundred twenty million, seventy-four thousand, eight hundred eighty".