4267896480 has 288 divisors, whose sum is σ = 15595227648. Its totient is φ = 1101081600.

The previous prime is 4267896467. The next prime is 4267896509. The reversal of 4267896480 is 846987624.

4267896480 is a `hidden beast` number, since 4 + 2 + 6 + 78 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203510 + ... + 1207050.

It is an arithmetic number, because the mean of its divisors is an integer number (54150096).

Almost surely, 2^4267896480 is an apocalyptic number.

4267896480 is a gapful number since it is divisible by the number (40) 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 4267896480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7797613824).

4267896480 is an abundant number, since it is smaller than the sum of its proper divisors (11327331168).

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

4267896480 is a wasteful number, since it uses less digits than its factorization.

4267896480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 4267896480 is about 65329.1395932933. The cubic root of 4267896480 is about 1622.0763499561.

The spelling of 4267896480 in words is "four billion, two hundred sixty-seven million, eight hundred ninety-six thousand, four hundred eighty".