1506432271680 has 1344 divisors, whose sum is σ = 6537541570560. Its totient is φ = 322319056896.

The previous prime is 1506432271609. The next prime is 1506432271699. The reversal of 1506432271680 is 861722346051.

1506432271680 is a `hidden beast` number, since 1 + 50 + 6 + 432 + 2 + 7 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2433654411 + ... + 2433655029.

It is an arithmetic number, because the mean of its divisors is an integer number (4864242240).

Almost surely, 2^{1506432271680} is an apocalyptic number.

1506432271680 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 1506432271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268770785280).

1506432271680 is an abundant number, since it is smaller than the sum of its proper divisors (5031109298880).

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

1506432271680 is a wasteful number, since it uses less digits than its factorization.

1506432271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1506432271680 in words is "one trillion, five hundred six billion, four hundred thirty-two million, two hundred seventy-one thousand, six hundred eighty".