8638740000 has 360 divisors, whose sum is σ = 33496615152. Its totient is φ = 2093760000.

The previous prime is 8638739987. The next prime is 8638740017. The reversal of 8638740000 is 478368.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1977819 + ... + 1982181.

Almost surely, 2^8638740000 is an apocalyptic number.

8638740000 is a gapful number since it is divisible by the number (80) 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 8638740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16748307576).

8638740000 is an abundant number, since it is smaller than the sum of its proper divisors (24857875152).

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

8638740000 is a wasteful number, since it uses less digits than its factorization.

8638740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8638740000 is about 92944.8223409997. The cubic root of 8638740000 is about 2051.8713825659.

The spelling of 8638740000 in words is "eight billion, six hundred thirty-eight million, seven hundred forty thousand".