4064740000 has 120 divisors (see below), whose sum is σ = 10245835908. Its totient is φ = 1585920000.

The previous prime is 4064739979. The next prime is 4064740003. The reversal of 4064740000 is 474604.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 540655504 + 3524084496 = 23252^2 + 59364^2 .

It is a super-2 number, since 2×4064740000² = 33044222535200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4064740003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 817522 + ... + 822478.

Almost surely, 2^4064740000 is an apocalyptic number.

4064740000 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 4064740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122917954).

4064740000 is an abundant number, since it is smaller than the sum of its proper divisors (6181095908).

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

4064740000 is an equidigital number, since it uses as much as digits as its factorization.

4064740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 4064740000 is about 63755.3135040524. The cubic root of 4064740000 is about 1595.9192887202.

The spelling of 4064740000 in words is "four billion, sixty-four million, seven hundred forty thousand".