6497383200 has 288 divisors, whose sum is σ = 26368312320. Its totient is φ = 1350067200.

The previous prime is 6497383181. The next prime is 6497383231. The reversal of 6497383200 is 23837946.

It is a super-3 number, since 3×6497383200³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 167221 + ... + 202379.

It is an arithmetic number, because the mean of its divisors is an integer number (91556640).

Almost surely, 2^6497383200 is an apocalyptic number.

6497383200 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 6497383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13184156160).

6497383200 is an abundant number, since it is smaller than the sum of its proper divisors (19870929120).

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

6497383200 is a wasteful number, since it uses less digits than its factorization.

6497383200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35200 (or 35187 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 6497383200 is about 80606.3471446263. The cubic root of 6497383200 is about 1866.0051028650.

The spelling of 6497383200 in words is "six billion, four hundred ninety-seven million, three hundred eighty-three thousand, two hundred".