4132764480 has 448 divisors, whose sum is σ = 15413126400. Its totient is φ = 928972800.

The previous prime is 4132764479. The next prime is 4132764487. The reversal of 4132764480 is 844672314.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132764487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6876180 + ... + 6876780.

It is an arithmetic number, because the mean of its divisors is an integer number (34404300).

Almost surely, 2^4132764480 is an apocalyptic number.

4132764480 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 4132764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7706563200).

4132764480 is an abundant number, since it is smaller than the sum of its proper divisors (11280361920).

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

4132764480 is a wasteful number, since it uses less digits than its factorization.

4132764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 4132764480 is about 64286.5808703496. The cubic root of 4132764480 is about 1604.7727903056.

The spelling of 4132764480 in words is "four billion, one hundred thirty-two million, seven hundred sixty-four thousand, four hundred eighty".