4264928640 has 960 divisors, whose sum is σ = 18741080160. Its totient is φ = 919683072.

The previous prime is 4264928639. The next prime is 4264928659. The reversal of 4264928640 is 468294624.

4264928640 is a `hidden beast` number, since 42 + 6 + 492 + 86 + 40 = 666.

4264928640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 58423644 + ... + 58423716.

Almost surely, 2^4264928640 is an apocalyptic number.

4264928640 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 4264928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9370540080).

4264928640 is an abundant number, since it is smaller than the sum of its proper divisors (14476151520).

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

4264928640 is a wasteful number, since it uses less digits than its factorization.

4264928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4264928640 is about 65306.4211238068. The cubic root of 4264928640 is about 1621.7002724663.

It can be divided in two parts, 42649 and 28640, that added together give a square (71289 = 267²).

The spelling of 4264928640 in words is "four billion, two hundred sixty-four million, nine hundred twenty-eight thousand, six hundred forty".