1649340000 has 1080 divisors, whose sum is σ = 7875235368. Its totient is φ = 322560000.

The previous prime is 1649339971. The next prime is 1649340029. The reversal of 1649340000 is 439461.

It is an interprime number because it is at equal distance from previous prime (1649339971) and next prime (1649340029).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 97019992 + ... + 97020008.

Almost surely, 2^1649340000 is an apocalyptic number.

1649340000 is a gapful number since it is divisible by the number (10) 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 1649340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937617684).

1649340000 is an abundant number, since it is smaller than the sum of its proper divisors (6225895368).

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

1649340000 is a wasteful number, since it uses less digits than its factorization.

1649340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1649340000 is about 40612.0671722088. The cubic root of 1649340000 is about 1181.5081740220.

Adding to 1649340000 its reverse (439461), we get a palindrome (1649779461).

The spelling of 1649340000 in words is "one billion, six hundred forty-nine million, three hundred forty thousand".