378845429760 has 1152 divisors, whose sum is σ = 1606964336640. Its totient is φ = 80857792512.

The previous prime is 378845429737. The next prime is 378845429779. The reversal of 378845429760 is 67924548873.

378845429760 is a `hidden beast` number, since 3 + 7 + 8 + 84 + 542 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2983034817 + ... + 2983034943.

It is an arithmetic number, because the mean of its divisors is an integer number (1394934320).

Almost surely, 2^378845429760 is an apocalyptic number.

378845429760 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 378845429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803482168320).

378845429760 is an abundant number, since it is smaller than the sum of its proper divisors (1228118906880).

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

378845429760 is a wasteful number, since it uses less digits than its factorization.

378845429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 378845429760 in words is "three hundred seventy-eight billion, eight hundred forty-five million, four hundred twenty-nine thousand, seven hundred sixty".