378947971584000 has 7488 divisors, whose sum is σ = 1850573270407680. Its totient is φ = 72579494707200.

The previous prime is 378947971583989. The next prime is 378947971584023. The reversal of 378947971584000 is 485179749873.

378947971584000 is a `hidden beast` number, since 3 + 7 + 8 + 9 + 479 + 71 + 5 + 84 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7488).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 378947971584000.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6422846975971 + ... + 6422846976029.

It is an arithmetic number, because the mean of its divisors is an integer number (247138524360).

Almost surely, 2^{378947971584000} is an apocalyptic number.

378947971584000 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 378947971584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925286635203840).

378947971584000 is an abundant number, since it is smaller than the sum of its proper divisors (1471625298823680).

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

378947971584000 is a wasteful number, since it uses less digits than its factorization.

378947971584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 378947971584000 in words is "three hundred seventy-eight trillion, nine hundred forty-seven billion, nine hundred seventy-one million, five hundred eighty-four thousand".