1486577664 has 448 divisors, whose sum is σ = 5284500480. Its totient is φ = 406978560.

The previous prime is 1486577647. The next prime is 1486577683. The reversal of 1486577664 is 4667756841.

1486577664 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 577 + 6 + 64 = 666.

It is a super-2 number, since 2×1486577664² = 4419826302207393792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1486577664.

It is a congruent number.

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, 31629289 + ... + 31629335.

It is an arithmetic number, because the mean of its divisors is an integer number (11795760).

Almost surely, 2^1486577664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1486577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642250240).

1486577664 is an abundant number, since it is smaller than the sum of its proper divisors (3797922816).

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

1486577664 is a wasteful number, since it uses less digits than its factorization.

1486577664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 1486577664 is about 38556.1624646437. The cubic root of 1486577664 is about 1141.2896209033.

It can be divided in two parts, 14865 and 77664, that added together give a palindrome (92529).

The spelling of 1486577664 in words is "one billion, four hundred eighty-six million, five hundred seventy-seven thousand, six hundred sixty-four".