380523536640 has 1512 divisors, whose sum is σ = 1569941130240. Its totient is φ = 88038752256.

The previous prime is 380523536597. The next prime is 380523536699. The reversal of 380523536640 is 46635325083.

380523536640 is a `hidden beast` number, since 3 + 8 + 0 + 52 + 3 + 536 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2996248257 + ... + 2996248383.

Almost surely, 2^380523536640 is an apocalyptic number.

380523536640 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 380523536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784970565120).

380523536640 is an abundant number, since it is smaller than the sum of its proper divisors (1189417593600).

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

380523536640 is a wasteful number, since it uses less digits than its factorization.

380523536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 380523536640 in words is "three hundred eighty billion, five hundred twenty-three million, five hundred thirty-six thousand, six hundred forty".