6496761600 has 864 divisors, whose sum is σ = 28103201280. Its totient is φ = 1437696000.

The previous prime is 6496761589. The next prime is 6496761659. The reversal of 6496761600 is 61676946.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×6496761600² = 84415822574469120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49593535 + ... + 49593665.

Almost surely, 2^6496761600 is an apocalyptic number.

6496761600 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 6496761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14051600640).

6496761600 is an abundant number, since it is smaller than the sum of its proper divisors (21606439680).

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

6496761600 is a wasteful number, since it uses less digits than its factorization.

6496761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6496761600 is about 80602.4912766349. The cubic root of 6496761600 is about 1865.9455945097.

The spelling of 6496761600 in words is "six billion, four hundred ninety-six million, seven hundred sixty-one thousand, six hundred".