378670763520000 has 6240 divisors, whose sum is σ = 1747465560023040. Its totient is φ = 77078200320000.

The previous prime is 378670763519987. The next prime is 378670763520001. The reversal of 378670763520000 is 25367076873.

378670763520000 is a `hidden beast` number, since 37 + 86 + 7 + 0 + 7 + 6 + 3 + 520 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (378670763520001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4254727679956 + ... + 4254727680044.

It is an arithmetic number, because the mean of its divisors is an integer number (280042557696).

Almost surely, 2^{378670763520000} is an apocalyptic number.

378670763520000 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 378670763520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873732780011520).

378670763520000 is an abundant number, since it is smaller than the sum of its proper divisors (1368794796503040).

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

378670763520000 is a wasteful number, since it uses less digits than its factorization.

378670763520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 378670763520000 in words is "three hundred seventy-eight trillion, six hundred seventy billion, seven hundred sixty-three million, five hundred twenty thousand".