1376977644 has 240 divisors, whose sum is σ = 4310349120. Its totient is φ = 375114240.

The previous prime is 1376977643. The next prime is 1376977673. The reversal of 1376977644 is 4467796731.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1376977643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5118742 + ... + 5119010.

It is an arithmetic number, because the mean of its divisors is an integer number (17959788).

Almost surely, 2^1376977644 is an apocalyptic number.

1376977644 is a gapful number since it is divisible by the number (14) 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 1376977644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155174560).

1376977644 is an abundant number, since it is smaller than the sum of its proper divisors (2933371476).

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

1376977644 is a wasteful number, since it uses less digits than its factorization.

1376977644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 379 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 1376977644 is about 37107.6494000900. The cubic root of 1376977644 is about 1112.5229100025.

The spelling of 1376977644 in words is "one billion, three hundred seventy-six million, nine hundred seventy-seven thousand, six hundred forty-four".