5464957680 has 320 divisors, whose sum is σ = 23168517120. Its totient is φ = 1153004544.

The previous prime is 5464957679. The next prime is 5464957703. The reversal of 5464957680 is 867594645.

5464957680 is a `hidden beast` number, since 5 + 4 + 6 + 495 + 76 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182659 + ... + 210461.

It is an arithmetic number, because the mean of its divisors is an integer number (72401616).

Almost surely, 2^5464957680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5464957680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11584258560).

5464957680 is an abundant number, since it is smaller than the sum of its proper divisors (17703559440).

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

5464957680 is a wasteful number, since it uses less digits than its factorization.

5464957680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27845 (or 27833 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 5464957680 is about 73925.3520789722. The cubic root of 5464957680 is about 1761.4173414245.

The spelling of 5464957680 in words is "five billion, four hundred sixty-four million, nine hundred fifty-seven thousand, six hundred eighty".