4332679680 has 320 divisors, whose sum is σ = 16036973568. Its totient is φ = 977387520.

The previous prime is 4332679679. The next prime is 4332679727. The reversal of 4332679680 is 869762334.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×4332679680² = 37544226418969804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4461595 + ... + 4462565.

Almost surely, 2^4332679680 is an apocalyptic number.

4332679680 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 4332679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8018486784).

4332679680 is an abundant number, since it is smaller than the sum of its proper divisors (11704293888).

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

4332679680 is an equidigital number, since it uses as much as digits as its factorization.

4332679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 4332679680 is about 65823.0938197226. The cubic root of 4332679680 is about 1630.2424369971.

The spelling of 4332679680 in words is "four billion, three hundred thirty-two million, six hundred seventy-nine thousand, six hundred eighty".