1649553984 has 336 divisors, whose sum is σ = 5436412800. Its totient is φ = 492687360.

The previous prime is 1649553949. The next prime is 1649553991. The reversal of 1649553984 is 4893559461.

1649553984 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 553 + 9 + 84 = 666.

It is a super-2 number, since 2×1649553984² = 5442056692260544512, 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 1649553984.

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, 8289117 + ... + 8289315.

It is an arithmetic number, because the mean of its divisors is an integer number (16179800).

Almost surely, 2^1649553984 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 1649553984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718206400).

1649553984 is an abundant number, since it is smaller than the sum of its proper divisors (3786858816).

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

1649553984 is a wasteful number, since it uses less digits than its factorization.

1649553984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 1649553984 is about 40614.7015746761. The cubic root of 1649553984 is about 1181.5592677751.

The spelling of 1649553984 in words is "one billion, six hundred forty-nine million, five hundred fifty-three thousand, nine hundred eighty-four".