5614642000 has 120 divisors (see below), whose sum is σ = 14923247976. Its totient is φ = 2041600000.

The previous prime is 5614641983. The next prime is 5614642013. The reversal of 5614642000 is 2464165.

It can be written as a sum of positive squares in 4 ways, for example, as 13017664 + 5601624336 = 3608^2 + 74844^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5614642000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230400 + ... + 253600.

Almost surely, 2^5614642000 is an apocalyptic number.

5614642000 is a gapful number since it is divisible by the number (50) 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 5614642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7461623988).

5614642000 is an abundant number, since it is smaller than the sum of its proper divisors (9308605976).

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

5614642000 is a wasteful number, since it uses less digits than its factorization.

5614642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23246 (or 23219 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 5614642000 is about 74930.9148482787. The cubic root of 5614642000 is about 1777.3543577832.

The spelling of 5614642000 in words is "five billion, six hundred fourteen million, six hundred forty-two thousand".