380535279264 has 384 divisors, whose sum is σ = 1365851289600. Its totient is φ = 100592824320.

The previous prime is 380535279239. The next prime is 380535279269. The reversal of 380535279264 is 462972535083.

380535279264 is a `hidden beast` number, since 3 + 8 + 0 + 53 + 527 + 9 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 380535279264.

It is not an unprimeable number, because it can be changed into a prime (380535279269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6034779 + ... + 6097509.

It is an arithmetic number, because the mean of its divisors is an integer number (3556904400).

Almost surely, 2^380535279264 is an apocalyptic number.

380535279264 is a gapful number since it is divisible by the number (34) 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 380535279264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682925644800).

380535279264 is an abundant number, since it is smaller than the sum of its proper divisors (985316010336).

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

380535279264 is a wasteful number, since it uses less digits than its factorization.

380535279264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62833 (or 62819 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 380535279264 in words is "three hundred eighty billion, five hundred thirty-five million, two hundred seventy-nine thousand, two hundred sixty-four".