150630480000 has 2880 divisors, whose sum is σ = 771319348800. Its totient is φ = 27371520000.

The previous prime is 150630479999. The next prime is 150630480029. The reversal of 150630480000 is 84036051.

150630480000 is a `hidden beast` number, since 150 + 6 + 30 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7927919991 + ... + 7927920009.

Almost surely, 2^150630480000 is an apocalyptic number.

150630480000 is a gapful number since it is divisible by the number (10) 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 150630480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385659674400).

150630480000 is an abundant number, since it is smaller than the sum of its proper divisors (620688868800).

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

150630480000 is a wasteful number, since it uses less digits than its factorization.

150630480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 150630480000 in words is "one hundred fifty billion, six hundred thirty million, four hundred eighty thousand".