378827503776 has 96 divisors (see below), whose sum is σ = 1107301144320. Its totient is φ = 126002967552.

The previous prime is 378827503741. The next prime is 378827503781. The reversal of 378827503776 is 677305728873.

378827503776 is a `hidden beast` number, since 37 + 8 + 8 + 27 + 503 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73465 + ... + 873528.

It is an arithmetic number, because the mean of its divisors is an integer number (11534386920).

Almost surely, 2^378827503776 is an apocalyptic number.

378827503776 is a gapful number since it is divisible by the number (36) 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 378827503776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553650572160).

378827503776 is an abundant number, since it is smaller than the sum of its proper divisors (728473640544).

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

378827503776 is a wasteful number, since it uses less digits than its factorization.

378827503776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947475 (or 947461 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 378827503776 in words is "three hundred seventy-eight billion, eight hundred twenty-seven million, five hundred three thousand, seven hundred seventy-six".