6238938240 has 192 divisors, whose sum is σ = 21586219200. Its totient is φ = 1660446720.

The previous prime is 6238938221. The next prime is 6238938257. The reversal of 6238938240 is 428398326.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 4831995 + ... + 4833285.

It is an arithmetic number, because the mean of its divisors is an integer number (112428225).

Almost surely, 2^6238938240 is an apocalyptic number.

6238938240 is a gapful number since it is divisible by the number (60) 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 6238938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10793109600).

6238938240 is an abundant number, since it is smaller than the sum of its proper divisors (15347280960).

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

6238938240 is a wasteful number, since it uses less digits than its factorization.

6238938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6238938240 is about 78986.9498081803. The cubic root of 6238938240 is about 1840.9283909753.

The spelling of 6238938240 in words is "six billion, two hundred thirty-eight million, nine hundred thirty-eight thousand, two hundred forty".