38763440640 has 240 divisors, whose sum is σ = 136454442696. Its totient is φ = 10167091200.

The previous prime is 38763440627. The next prime is 38763440687. The reversal of 38763440640 is 4604436783.

38763440640 is a `hidden beast` number, since 3 + 8 + 7 + 634 + 4 + 0 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32798658816 + 5964781824 = 181104^2 + 77232^2 .

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 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 23 ways as a sum of consecutive naturals, for example, 1391650 + ... + 1419230.

Almost surely, 2^38763440640 is an apocalyptic number.

38763440640 is a gapful number since it is divisible by the number (30) 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 38763440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68227221348).

38763440640 is an abundant number, since it is smaller than the sum of its proper divisors (97691002056).

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

38763440640 is a wasteful number, since it uses less digits than its factorization.

38763440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27671 (or 27652 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 38763440640 in words is "thirty-eight billion, seven hundred sixty-three million, four hundred forty thousand, six hundred forty".