5510614464 has 224 divisors, whose sum is σ = 17320564800. Its totient is φ = 1711964160.

The previous prime is 5510614463. The next prime is 5510614507. The reversal of 5510614464 is 4644160155.

5510614464 is a `hidden beast` number, since 551 + 0 + 6 + 1 + 44 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5510614463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3201124 + ... + 3202844.

It is an arithmetic number, because the mean of its divisors is an integer number (77323950).

Almost surely, 2^5510614464 is an apocalyptic number.

5510614464 is a gapful number since it is divisible by the number (54) 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 5510614464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8660282400).

5510614464 is an abundant number, since it is smaller than the sum of its proper divisors (11809950336).

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

5510614464 is a wasteful number, since it uses less digits than its factorization.

5510614464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5510614464 is about 74233.5130786628. The cubic root of 5510614464 is about 1766.3089759924.

The spelling of 5510614464 in words is "five billion, five hundred ten million, six hundred fourteen thousand, four hundred sixty-four".