378220437504 has 1792 divisors, whose sum is σ = 1550120140800. Its totient is φ = 88289574912.

The previous prime is 378220437473. The next prime is 378220437521. The reversal of 378220437504 is 405734022873.

378220437504 is a `hidden beast` number, since 3 + 7 + 82 + 20 + 43 + 7 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a self number, because there is not a number n which added to its sum of digits gives 378220437504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8795824107 + ... + 8795824149.

It is an arithmetic number, because the mean of its divisors is an integer number (865022400).

Almost surely, 2^378220437504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378220437504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775060070400).

378220437504 is an abundant number, since it is smaller than the sum of its proper divisors (1171899703296).

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

378220437504 is a wasteful number, since it uses less digits than its factorization.

378220437504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 378220437504 in words is "three hundred seventy-eight billion, two hundred twenty million, four hundred thirty-seven thousand, five hundred four".