378526075200 has 1008 divisors, whose sum is σ = 1667678428416. Its totient is φ = 79294464000.

The previous prime is 378526075199. The next prime is 378526075219. The reversal of 378526075200 is 2570625873.

378526075200 is a `hidden beast` number, since 3 + 78 + 52 + 6 + 0 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 197869444 + ... + 197871356.

Almost surely, 2^378526075200 is an apocalyptic number.

378526075200 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 378526075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833839214208).

378526075200 is an abundant number, since it is smaller than the sum of its proper divisors (1289152353216).

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

378526075200 is a wasteful number, since it uses less digits than its factorization.

378526075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 378526075200 in words is "three hundred seventy-eight billion, five hundred twenty-six million, seventy-five thousand, two hundred".