377209160064 has 1024 divisors, whose sum is σ = 1315163520000. Its totient is φ = 105345515520.

The previous prime is 377209160063. The next prime is 377209160087. The reversal of 377209160064 is 460061902773.

377209160064 is a `hidden beast` number, since 37 + 7 + 2 + 0 + 9 + 1 + 600 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (377209160063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3460634442 + ... + 3460634550.

It is an arithmetic number, because the mean of its divisors is an integer number (1284339375).

Almost surely, 2^377209160064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377209160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657581760000).

377209160064 is an abundant number, since it is smaller than the sum of its proper divisors (937954359936).

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

377209160064 is a wasteful number, since it uses less digits than its factorization.

377209160064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 377209160064 in words is "three hundred seventy-seven billion, two hundred nine million, one hundred sixty thousand, sixty-four".