380269854720 has 1152 divisors, whose sum is σ = 1620009471600. Its totient is φ = 82046877696.

The previous prime is 380269854703. The next prime is 380269854743. The reversal of 380269854720 is 27458962083.

380269854720 = 63221² + 63222² + ... + 63315².

380269854720 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 6 + 98 + 547 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1372815222 + ... + 1372815498.

Almost surely, 2^380269854720 is an apocalyptic number.

380269854720 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 380269854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810004735800).

380269854720 is an abundant number, since it is smaller than the sum of its proper divisors (1239739616880).

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

380269854720 is a wasteful number, since it uses less digits than its factorization.

380269854720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 380269854720 in words is "three hundred eighty billion, two hundred sixty-nine million, eight hundred fifty-four thousand, seven hundred twenty".