1377512640 has 168 divisors, whose sum is σ = 5415015840. Its totient is φ = 314855424.

The previous prime is 1377512623. The next prime is 1377512681. The reversal of 1377512640 is 462157731.

It is a happy number.

1377512640 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 5 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 1377512595 and 1377512604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14005 + ... + 54324.

Almost surely, 2^1377512640 is an apocalyptic number.

1377512640 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 1377512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707507920).

1377512640 is an abundant number, since it is smaller than the sum of its proper divisors (4037503200).

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

1377512640 is a wasteful number, since it uses less digits than its factorization.

1377512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68359 (or 68346 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1377512640 is about 37114.8574023935. The cubic root of 1377512640 is about 1112.6669738858. Note that the first 3 decimals are identical.

The spelling of 1377512640 in words is "one billion, three hundred seventy-seven million, five hundred twelve thousand, six hundred forty".