7146306000 has 400 divisors, whose sum is σ = 26664388608. Its totient is φ = 1842912000.

The previous prime is 7146305993. The next prime is 7146306007. The reversal of 7146306000 is 6036417.

It is an interprime number because it is at equal distance from previous prime (7146305993) and next prime (7146306007).

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7146306007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5021289 + ... + 5022711.

Almost surely, 2^7146306000 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 7146306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332194304).

7146306000 is an abundant number, since it is smaller than the sum of its proper divisors (19518082608).

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

7146306000 is a wasteful number, since it uses less digits than its factorization.

7146306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7146306000 is about 84535.8267245314. The cubic root of 7146306000 is about 1926.1666959106.

The spelling of 7146306000 in words is "seven billion, one hundred forty-six million, three hundred six thousand".