378451906560 has 2080 divisors, whose sum is σ = 1758310202880. Its totient is φ = 75676778496.

The previous prime is 378451906531. The next prime is 378451906561. The reversal of 378451906560 is 65609154873.

378451906560 is a `hidden beast` number, since 3 + 7 + 8 + 4 + 519 + 0 + 65 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

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

It is a junction number, because it is equal to n+sod(n) for n = 378451906497 and 378451906506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378451906561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3472035786 + ... + 3472035894.

Almost surely, 2^378451906560 is an apocalyptic number.

378451906560 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 378451906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879155101440).

378451906560 is an abundant number, since it is smaller than the sum of its proper divisors (1379858296320).

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

378451906560 is a wasteful number, since it uses less digits than its factorization.

378451906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 378451906560 in words is "three hundred seventy-eight billion, four hundred fifty-one million, nine hundred six thousand, five hundred sixty".