5714669076480 has 2160 divisors, whose sum is σ = 25818243869880. Its totient is φ = 1205732376576.

The previous prime is 5714669076439. The next prime is 5714669076499. The reversal of 5714669076480 is 846709664175.

It is a happy number.

5714669076480 is a `hidden beast` number, since 5 + 7 + 1 + 4 + 66 + 90 + 7 + 6 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93900570624 + 5620768505856 = 306432^2 + 2370816^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 439589928954 + ... + 439589928966.

Almost surely, 2^{5714669076480} 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 5714669076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12909121934940).

5714669076480 is an abundant number, since it is smaller than the sum of its proper divisors (20103574793400).

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

5714669076480 is an frugal number, since it uses more digits than its factorization.

5714669076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 5714669076480 in words is "five trillion, seven hundred fourteen billion, six hundred sixty-nine million, seventy-six thousand, four hundred eighty".