380656051776 has 896 divisors, whose sum is σ = 1509155020800. Its totient is φ = 90863493120.

The previous prime is 380656051739. The next prime is 380656051777. The reversal of 380656051776 is 677150656083.

380656051776 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 56 + 0 + 517 + 76 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (380656051777) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 620972046 + ... + 620972658.

It is an arithmetic number, because the mean of its divisors is an integer number (1684324800).

Almost surely, 2^380656051776 is an apocalyptic number.

380656051776 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 380656051776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754577510400).

380656051776 is an abundant number, since it is smaller than the sum of its proper divisors (1128498969024).

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

380656051776 is a wasteful number, since it uses less digits than its factorization.

380656051776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 380656051776 in words is "three hundred eighty billion, six hundred fifty-six million, fifty-one thousand, seven hundred seventy-six".