6726434000 has 320 divisors, whose sum is σ = 19791233280. Its totient is φ = 2177280000.

The previous prime is 6726433991. The next prime is 6726434009. The reversal of 6726434000 is 4346276.

It is an interprime number because it is at equal distance from previous prime (6726433991) and next prime (6726434009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6726434009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8293595 + ... + 8294405.

It is an arithmetic number, because the mean of its divisors is an integer number (61847604).

Almost surely, 2^6726434000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6726434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9895616640).

6726434000 is an abundant number, since it is smaller than the sum of its proper divisors (13064799280).

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

6726434000 is a wasteful number, since it uses less digits than its factorization.

6726434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 6726434000 is about 82014.8401205538. The cubic root of 6726434000 is about 1887.6796548439.

The spelling of 6726434000 in words is "six billion, seven hundred twenty-six million, four hundred thirty-four thousand".