6238648960 has 128 divisors (see below), whose sum is σ = 15215788800. Its totient is φ = 2445520896.

The previous prime is 6238648951. The next prime is 6238648973. The reversal of 6238648960 is 698468326.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6238648960² = 77841481692218163200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6238648898 and 6238648907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8240902 + ... + 8241658.

It is an arithmetic number, because the mean of its divisors is an integer number (118873350).

Almost surely, 2^6238648960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6238648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607894400).

6238648960 is an abundant number, since it is smaller than the sum of its proper divisors (8977139840).

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

6238648960 is a wasteful number, since it uses less digits than its factorization.

6238648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The square root of 6238648960 is about 78985.1185983790. The cubic root of 6238648960 is about 1840.8999378435.

The spelling of 6238648960 in words is "six billion, two hundred thirty-eight million, six hundred forty-eight thousand, nine hundred sixty".