378553476244320 has 480 divisors, whose sum is σ = 1439089590264480. Its totient is φ = 93160132853760.

The previous prime is 378553476244261. The next prime is 378553476244327. The reversal of 378553476244320 is 23442674355873.

It is a happy number.

378553476244320 is a `hidden beast` number, since 3 + 7 + 8 + 5 + 534 + 7 + 62 + 4 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378553476244327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 710550840 + ... + 711083400.

It is an arithmetic number, because the mean of its divisors is an integer number (2998103313051).

Almost surely, 2^{378553476244320} is an apocalyptic number.

378553476244320 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 378553476244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719544795132240).

378553476244320 is an abundant number, since it is smaller than the sum of its proper divisors (1060536114020160).

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

378553476244320 is a wasteful number, since it uses less digits than its factorization.

378553476244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536820 (or 536803 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 63.

The spelling of 378553476244320 in words is "three hundred seventy-eight trillion, five hundred fifty-three billion, four hundred seventy-six million, two hundred forty-four thousand, three hundred twenty".