378242219520 has 720 divisors, whose sum is σ = 1477582522416. Its totient is φ = 88680038400.

The previous prime is 378242219449. The next prime is 378242219557. The reversal of 378242219520 is 25912242873.

378242219520 is a `hidden beast` number, since 3 + 7 + 82 + 42 + 2 + 1 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 243555064 + ... + 243556616.

Almost surely, 2^378242219520 is an apocalyptic number.

378242219520 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 378242219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738791261208).

378242219520 is an abundant number, since it is smaller than the sum of its proper divisors (1099340302896).

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

378242219520 is a wasteful number, since it uses less digits than its factorization.

378242219520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 378242219520 in words is "three hundred seventy-eight billion, two hundred forty-two million, two hundred nineteen thousand, five hundred twenty".