6634992000 has 1024 divisors, whose sum is σ = 28514304000. Its totient is φ = 1354752000.

The previous prime is 6634991989. The next prime is 6634992011. The reversal of 6634992000 is 2994366.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6634991989) and next prime (6634992011).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 6634992000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 214031985 + ... + 214032015.

It is an arithmetic number, because the mean of its divisors is an integer number (27846000).

Almost surely, 2^6634992000 is an apocalyptic number.

6634992000 is a gapful number since it is divisible by the number (60) 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 6634992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14257152000).

6634992000 is an abundant number, since it is smaller than the sum of its proper divisors (21879312000).

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

6634992000 is a wasteful number, since it uses less digits than its factorization.

6634992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 6634992000 is about 81455.4602221361. The cubic root of 6634992000 is about 1879.0866243741.

The spelling of 6634992000 in words is "six billion, six hundred thirty-four million, nine hundred ninety-two thousand".