1377008640 has 352 divisors, whose sum is σ = 5596661760. Its totient is φ = 314523648.

The previous prime is 1377008609. The next prime is 1377008683. The reversal of 1377008640 is 468007731.

1377008640 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 0 + 0 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1377008595 and 1377008604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 966969 + ... + 968391.

Almost surely, 2^1377008640 is an apocalyptic number.

1377008640 is a gapful number since it is divisible by the number (10) 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 1377008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798330880).

1377008640 is an abundant number, since it is smaller than the sum of its proper divisors (4219653120).

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

1377008640 is a wasteful number, since it uses less digits than its factorization.

1377008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1377008640 is about 37108.0670474763. The cubic root of 1377008640 is about 1112.5312576329.

Subtracting from 1377008640 its reverse (468007731), we obtain a palindrome (909000909).

The spelling of 1377008640 in words is "one billion, three hundred seventy-seven million, eight thousand, six hundred forty".