378616522752 has 576 divisors, whose sum is σ = 1275615432000. Its totient is φ = 110290305024.

The previous prime is 378616522729. The next prime is 378616522763. The reversal of 378616522752 is 257225616873.

378616522752 is a `hidden beast` number, since 3 + 7 + 8 + 61 + 6 + 522 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259503399 + ... + 259504857.

It is an arithmetic number, because the mean of its divisors is an integer number (2214610125).

Almost surely, 2^378616522752 is an apocalyptic number.

378616522752 is a gapful number since it is divisible by the number (32) 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 378616522752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637807716000).

378616522752 is an abundant number, since it is smaller than the sum of its proper divisors (896998909248).

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

378616522752 is a wasteful number, since it uses less digits than its factorization.

378616522752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1496 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 378616522752 in words is "three hundred seventy-eight billion, six hundred sixteen million, five hundred twenty-two thousand, seven hundred fifty-two".