6080150630400 has 1248 divisors, whose sum is σ = 25164651787776. Its totient is φ = 1258291200000.

The previous prime is 6080150630377. The next prime is 6080150630413. The reversal of 6080150630400 is 40360510806.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9485414080 + ... + 9485414720.

Almost surely, 2^{6080150630400} is an apocalyptic number.

6080150630400 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 6080150630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582325893888).

6080150630400 is an abundant number, since it is smaller than the sum of its proper divisors (19084501157376).

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

6080150630400 is a wasteful number, since it uses less digits than its factorization.

6080150630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 6080150630400 in words is "six trillion, eighty billion, one hundred fifty million, six hundred thirty thousand, four hundred".