1377062016 has 256 divisors, whose sum is σ = 4286545920. Its totient is φ = 387072000.

The previous prime is 1377061991. The next prime is 1377062017. The reversal of 1377062016 is 6102607731.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1377062017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9119541 + ... + 9119691.

It is an arithmetic number, because the mean of its divisors is an integer number (16744320).

Almost surely, 2^1377062016 is an apocalyptic number.

1377062016 is a gapful number since it is divisible by the number (16) 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 1377062016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143272960).

1377062016 is an abundant number, since it is smaller than the sum of its proper divisors (2909483904).

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

1377062016 is a wasteful number, since it uses less digits than its factorization.

1377062016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 1377062016 is about 37108.7862372242. The cubic root of 1377062016 is about 1112.5456321980.

Adding to 1377062016 its reverse (6102607731), we get a palindrome (7479669747).

The spelling of 1377062016 in words is "one billion, three hundred seventy-seven million, sixty-two thousand, sixteen".