4064801520 has 200 divisors, whose sum is σ = 13673941776. Its totient is φ = 998879232.

The previous prime is 4064801483. The next prime is 4064801539. The reversal of 4064801520 is 251084604.

It is a super-2 number, since 2×4064801520² = 33045222793988620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6854344 + ... + 6854936.

Almost surely, 2^4064801520 is an apocalyptic number.

4064801520 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 4064801520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6836970888).

4064801520 is an abundant number, since it is smaller than the sum of its proper divisors (9609140256).

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

4064801520 is an equidigital number, since it uses as much as digits as its factorization.

4064801520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 4064801520 is about 63755.7959718173. The cubic root of 4064801520 is about 1595.9273401133.

The spelling of 4064801520 in words is "four billion, sixty-four million, eight hundred one thousand, five hundred twenty".