5464954880 has 384 divisors, whose sum is σ = 16982784000. Its totient is φ = 1637744640.

The previous prime is 5464954849. The next prime is 5464954961. The reversal of 5464954880 is 884594645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22865801 + ... + 22866039.

It is an arithmetic number, because the mean of its divisors is an integer number (44226000).

Almost surely, 2^5464954880 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 5464954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392000).

5464954880 is an abundant number, since it is smaller than the sum of its proper divisors (11517829120).

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

5464954880 is a wasteful number, since it uses less digits than its factorization.

5464954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 53.

The square root of 5464954880 is about 73925.3331409470. Note that the first 3 decimals coincide. The cubic root of 5464954880 is about 1761.4170406006.

The spelling of 5464954880 in words is "five billion, four hundred sixty-four million, nine hundred fifty-four thousand, eight hundred eighty".