4070546688 has 72 divisors (see below), whose sum is σ = 11666972128. Its totient is φ = 1252472832.

The previous prime is 4070546663. The next prime is 4070546717. The reversal of 4070546688 is 8866450704.

4070546688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4070546688³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193870 + ... + 213837.

Almost surely, 2^4070546688 is an apocalyptic number.

4070546688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4070546688 is an abundant number, since it is smaller than the sum of its proper divisors (7596425440).

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

4070546688 is a wasteful number, since it uses less digits than its factorization.

4070546688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407739 (or 407725 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 4070546688 is about 63800.8361073740. The cubic root of 4070546688 is about 1596.6788777784.

The spelling of 4070546688 in words is "four billion, seventy million, five hundred forty-six thousand, six hundred eighty-eight".