6467202000 has 480 divisors, whose sum is σ = 26784785664. Its totient is φ = 1477440000.

The previous prime is 6467201981. The next prime is 6467202013. The reversal of 6467202000 is 2027646.

It is a super-4 number, since 4×6467202000⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3401050 + ... + 3402950.

Almost surely, 2^6467202000 is an apocalyptic number.

6467202000 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 6467202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392392832).

6467202000 is an abundant number, since it is smaller than the sum of its proper divisors (20317583664).

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

6467202000 is a wasteful number, since it uses less digits than its factorization.

6467202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6467202000 is about 80418.9156853038. The cubic root of 6467202000 is about 1863.1113378348. Note that the first 3 decimals are identical.

Adding to 6467202000 its reverse (2027646), we get a palindrome (6469229646).

The spelling of 6467202000 in words is "six billion, four hundred sixty-seven million, two hundred two thousand".