6153217728 has 336 divisors, whose sum is σ = 20347960320. Its totient is φ = 1630347264.

The previous prime is 6153217727. The next prime is 6153217747. The reversal of 6153217728 is 8277123516.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6153217728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6153217723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12634701 + ... + 12635187.

Almost surely, 2^6153217728 is an apocalyptic number.

6153217728 is a gapful number since it is divisible by the number (68) 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 6153217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10173980160).

6153217728 is an abundant number, since it is smaller than the sum of its proper divisors (14194742592).

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

6153217728 is a wasteful number, since it uses less digits than its factorization.

6153217728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 595 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 6153217728 is about 78442.4485084447. The cubic root of 6153217728 is about 1832.4582735105.

The spelling of 6153217728 in words is "six billion, one hundred fifty-three million, two hundred seventeen thousand, seven hundred twenty-eight".