380557512671616 has 768 divisors, whose sum is σ = 1292770109030400. Its totient is φ = 105223971041280.

The previous prime is 380557512671597. The next prime is 380557512671657. The reversal of 380557512671616 is 616176215755083.

380557512671616 is a `hidden beast` number, since 3 + 8 + 0 + 5 + 5 + 7 + 5 + 1 + 2 + 6 + 7 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6715178961 + ... + 6715235631.

It is an arithmetic number, because the mean of its divisors is an integer number (1683294412800).

Almost surely, 2^{380557512671616} is an apocalyptic number.

380557512671616 is a gapful number since it is divisible by the number (36) 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 380557512671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646385054515200).

380557512671616 is an abundant number, since it is smaller than the sum of its proper divisors (912212596358784).

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

380557512671616 is a wasteful number, since it uses less digits than its factorization.

380557512671616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56987 (or 56972 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 380557512671616 in words is "three hundred eighty trillion, five hundred fifty-seven billion, five hundred twelve million, six hundred seventy-one thousand, six hundred sixteen".