6126150464 has 224 divisors, whose sum is σ = 15742895616. Its totient is φ = 2303262720.

The previous prime is 6126150461. The next prime is 6126150479. The reversal of 6126150464 is 4640516216.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6126150461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7181462 + ... + 7182314.

It is an arithmetic number, because the mean of its divisors is an integer number (70280784).

Almost surely, 2^6126150464 is an apocalyptic number.

6126150464 is a gapful number since it is divisible by the number (64) 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 6126150464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7871447808).

6126150464 is an abundant number, since it is smaller than the sum of its proper divisors (9616745152).

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

6126150464 is a wasteful number, since it uses less digits than its factorization.

6126150464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 6126150464 is about 78269.7289122685. The cubic root of 6126150464 is about 1829.7674029279.

The spelling of 6126150464 in words is "six billion, one hundred twenty-six million, one hundred fifty thousand, four hundred sixty-four".