378818640000 has 640 divisors, whose sum is σ = 1414605931200. Its totient is φ = 99753984000.

The previous prime is 378818639993. The next prime is 378818640007. The reversal of 378818640000 is 46818873.

It is an interprime number because it is at equal distance from previous prime (378818639993) and next prime (378818640007).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×378818640000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (378818640007) 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, 179278944 + ... + 179281056.

Almost surely, 2^378818640000 is an apocalyptic number.

378818640000 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 378818640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707302965600).

378818640000 is an abundant number, since it is smaller than the sum of its proper divisors (1035787291200).

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

378818640000 is an equidigital number, since it uses as much as digits as its factorization.

378818640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 378818640000 in words is "three hundred seventy-eight billion, eight hundred eighteen million, six hundred forty thousand".