378345721888640 has 192 divisors, whose sum is σ = 999179446860000. Its totient is φ = 136888898826240.

The previous prime is 378345721888633. The next prime is 378345721888643. The reversal of 378345721888640 is 46888127543873.

It is a super-2 number, since 2×378345721888640² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (74) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378345721888643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3135026 + ... + 27686094.

Almost surely, 2^{378345721888640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378345721888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499589723430000).

378345721888640 is an abundant number, since it is smaller than the sum of its proper divisors (620833724971360).

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

378345721888640 is a wasteful number, since it uses less digits than its factorization.

378345721888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24551309 (or 24551286 counting only the distinct ones).

The product of its (nonzero) digits is 1734082560, while the sum is 74.

The spelling of 378345721888640 in words is "three hundred seventy-eight trillion, three hundred forty-five billion, seven hundred twenty-one million, eight hundred eighty-eight thousand, six hundred forty".