378160429920 has 1152 divisors, whose sum is σ = 1554455992320. Its totient is φ = 75565301760.

The previous prime is 378160429897. The next prime is 378160429931. The reversal of 378160429920 is 29924061873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 861413061 + ... + 861413499.

It is an arithmetic number, because the mean of its divisors is an integer number (1349354160).

Almost surely, 2^378160429920 is an apocalyptic number.

378160429920 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 378160429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777227996160).

378160429920 is an abundant number, since it is smaller than the sum of its proper divisors (1176295562400).

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

378160429920 is a wasteful number, since it uses less digits than its factorization.

378160429920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 378160429920 in words is "three hundred seventy-eight billion, one hundred sixty million, four hundred twenty-nine thousand, nine hundred twenty".