6146488320 has 384 divisors, whose sum is σ = 22775800320. Its totient is φ = 1386086400.

The previous prime is 6146488303. The next prime is 6146488321. The reversal of 6146488320 is 238846416.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6146488321) 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, 21718899 + ... + 21719181.

It is an arithmetic number, because the mean of its divisors is an integer number (59311980).

Almost surely, 2^6146488320 is an apocalyptic number.

6146488320 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 6146488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11387900160).

6146488320 is an abundant number, since it is smaller than the sum of its proper divisors (16629312000).

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

6146488320 is a wasteful number, since it uses less digits than its factorization.

6146488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 6146488320 is about 78399.5428558101. The cubic root of 6146488320 is about 1831.7900129894.

The spelling of 6146488320 in words is "six billion, one hundred forty-six million, four hundred eighty-eight thousand, three hundred twenty".