4097024064 has 315 divisors, whose sum is σ = 14239815183. Its totient is φ = 1161361152.

The previous prime is 4097024059. The next prime is 4097024143. The reversal of 4097024064 is 4604207904.

4097024064 = T₅₆₈₅ + T₅₆₈₆ + ... + T₅₉₂₇.

The square root of 4097024064 is 64008.

It is a perfect power (a square), and thus also a powerful number.

4097024064 is a `hidden beast` number, since 409 + 7 + 0 + 240 + 6 + 4 = 666.

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 44 ways as a sum of consecutive naturals, for example, 32259969 + ... + 32260095.

Almost surely, 2^4097024064 is an apocalyptic number.

4097024064 is the 64008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4097024064

4097024064 is an abundant number, since it is smaller than the sum of its proper divisors (10142791119).

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

4097024064 is an equidigital number, since it uses as much as digits as its factorization.

4097024064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The cubic root of 4097024064 is about 1600.1333305557.

Multiplying 4097024064 by its sum of digits (36), we get a square (147492866304 = 384048²).

4097024064 divided by its sum of digits (36) gives a square (113806224 = 10668²).

The spelling of 4097024064 in words is "four billion, ninety-seven million, twenty-four thousand, sixty-four".