378153592320 has 1280 divisors, whose sum is σ = 1538022131712. Its totient is φ = 77290536960.

The previous prime is 378153592319. The next prime is 378153592321. The reversal of 378153592320 is 23295351873.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (378153592319) and next prime (378153592321).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 378153592320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378153592321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1792197015 + ... + 1792197225.

Almost surely, 2^378153592320 is an apocalyptic number.

378153592320 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 378153592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769011065856).

378153592320 is an abundant number, since it is smaller than the sum of its proper divisors (1159868539392).

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

378153592320 is a wasteful number, since it uses less digits than its factorization.

378153592320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 378153592320 in words is "three hundred seventy-eight billion, one hundred fifty-three million, five hundred ninety-two thousand, three hundred twenty".