1534637664 has 360 divisors, whose sum is σ = 5391412488. Its totient is φ = 426746880.

The previous prime is 1534637659. The next prime is 1534637681. The reversal of 1534637664 is 4667364351.

1534637664 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 637 + 6 + 6 + 4 = 666.

It is a super-4 number, since 4×1534637664⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (1088640) is a multiple of the sum of its prime divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5461204 + ... + 5461484.

Almost surely, 2^1534637664 is an apocalyptic number.

1534637664 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 1534637664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695706244).

1534637664 is an abundant number, since it is smaller than the sum of its proper divisors (3856774824).

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

1534637664 is a wasteful number, since it uses less digits than its factorization.

1534637664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 336 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 1534637664 is about 39174.4516745289. The cubic root of 1534637664 is about 1153.4584392858.

The spelling of 1534637664 in words is "one billion, five hundred thirty-four million, six hundred thirty-seven thousand, six hundred sixty-four".