4267462320 has 800 divisors, whose sum is σ = 17889569280. Its totient is φ = 930631680.

The previous prime is 4267462273. The next prime is 4267462361. The reversal of 4267462320 is 232647624.

4267462320 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 4 + 623 + 20 = 666.

It is a super-2 number, since 2×4267462320² = 36422469305239564800, which contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 31149292 + ... + 31149428.

Almost surely, 2^4267462320 is an apocalyptic number.

4267462320 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 4267462320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8944784640).

4267462320 is an abundant number, since it is smaller than the sum of its proper divisors (13622106960).

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

4267462320 is a wasteful number, since it uses less digits than its factorization.

4267462320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 4267462320 is about 65325.8166424271. The cubic root of 4267462320 is about 1622.0213451427.

The spelling of 4267462320 in words is "four billion, two hundred sixty-seven million, four hundred sixty-two thousand, three hundred twenty".