1564726464 has 224 divisors, whose sum is σ = 5287426560. Its totient is φ = 444496896.

The previous prime is 1564726439. The next prime is 1564726483. The reversal of 1564726464 is 4646274651.

1564726464 is a `hidden beast` number, since 1 + 564 + 7 + 26 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (967680) is a multiple of the sum of its prime divisors (756).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3350359 + ... + 3350825.

Almost surely, 2^1564726464 is an apocalyptic number.

1564726464 is a gapful number since it is divisible by the number (14) 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 1564726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643713280).

1564726464 is an abundant number, since it is smaller than the sum of its proper divisors (3722700096).

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

1564726464 is a wasteful number, since it uses less digits than its factorization.

1564726464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 756 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 1564726464 is about 39556.6235161698. The cubic root of 1564726464 is about 1160.9481111090.

The spelling of 1564726464 in words is "one billion, five hundred sixty-four million, seven hundred twenty-six thousand, four hundred sixty-four".