378700262400 has 264 divisors, whose sum is σ = 1306048621824. Its totient is φ = 96595558400.

The previous prime is 378700262327. The next prime is 378700262401. The reversal of 378700262400 is 4262007873.

It is not an unprimeable number, because it can be changed into a prime (378700262401) 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, 1659205 + ... + 1873595.

Almost surely, 2^378700262400 is an apocalyptic number.

378700262400 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 378700262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653024310912).

378700262400 is an abundant number, since it is smaller than the sum of its proper divisors (927348359424).

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

378700262400 is a wasteful number, since it uses less digits than its factorization.

378700262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214447 (or 214424 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 378700262400 in words is "three hundred seventy-eight billion, seven hundred million, two hundred sixty-two thousand, four hundred".