5123672064 has 576 divisors, whose sum is σ = 18523814400. Its totient is φ = 1393459200.

The previous prime is 5123671991. The next prime is 5123672083. The reversal of 5123672064 is 4602763215.

5123672064 is a `hidden beast` number, since 512 + 3 + 67 + 20 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83994594 + ... + 83994654.

It is an arithmetic number, because the mean of its divisors is an integer number (32159400).

Almost surely, 2^5123672064 is an apocalyptic number.

5123672064 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 5123672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9261907200).

5123672064 is an abundant number, since it is smaller than the sum of its proper divisors (13400142336).

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

5123672064 is a wasteful number, since it uses less digits than its factorization.

5123672064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5123672064 is about 71579.8300081804. The cubic root of 5123672064 is about 1723.9596963750.

The spelling of 5123672064 in words is "five billion, one hundred twenty-three million, six hundred seventy-two thousand, sixty-four".