6354996864 has 128 divisors (see below), whose sum is σ = 17400139200. Its totient is φ = 2053545984.

The previous prime is 6354996863. The next prime is 6354996871. The reversal of 6354996864 is 4686994536.

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

It is a junction number, because it is equal to n+sod(n) for n = 6354996798 and 6354996807.

It is not an unprimeable number, because it can be changed into a prime (6354996863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4929532 + ... + 4930820.

Almost surely, 2^6354996864 is an apocalyptic number.

6354996864 is a gapful number since it is divisible by the number (64) 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 6354996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8700069600).

6354996864 is an abundant number, since it is smaller than the sum of its proper divisors (11045142336).

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

6354996864 is a wasteful number, since it uses less digits than its factorization.

6354996864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1678 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 60.

The square root of 6354996864 is about 79718.2342002129. The cubic root of 6354996864 is about 1852.2735004028.

The spelling of 6354996864 in words is "six billion, three hundred fifty-four million, nine hundred ninety-six thousand, eight hundred sixty-four".