5614297920 has 1120 divisors, whose sum is σ = 26023092480. Its totient is φ = 1114767360.

The previous prime is 5614297903. The next prime is 5614297921. The reversal of 5614297920 is 297924165.

5614297920 is a `hidden beast` number, since 5 + 614 + 2 + 9 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×5614297920² = 63040682269032652800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5614297921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57879312 + ... + 57879408.

It is an arithmetic number, because the mean of its divisors is an integer number (23234904).

Almost surely, 2^5614297920 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 5614297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13011546240).

5614297920 is an abundant number, since it is smaller than the sum of its proper divisors (20408794560).

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

5614297920 is a wasteful number, since it uses less digits than its factorization.

5614297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5614297920 is about 74928.6188315252. The cubic root of 5614297920 is about 1777.3180500613.

The spelling of 5614297920 in words is "five billion, six hundred fourteen million, two hundred ninety-seven thousand, nine hundred twenty".