1377638640 has 240 divisors, whose sum is σ = 5375388096. Its totient is φ = 309657600.

The previous prime is 1377638621. The next prime is 1377638677. The reversal of 1377638640 is 468367731.

1377638640 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 638 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305200 + ... + 309680.

Almost surely, 2^1377638640 is an apocalyptic number.

1377638640 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 1377638640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687694048).

1377638640 is an abundant number, since it is smaller than the sum of its proper divisors (3997749456).

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

1377638640 is a wasteful number, since it uses less digits than its factorization.

1377638640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 1377638640 is about 37116.5547970175. The cubic root of 1377638640 is about 1112.7008977764.

The spelling of 1377638640 in words is "one billion, three hundred seventy-seven million, six hundred thirty-eight thousand, six hundred forty".