1506691134720 has 720 divisors, whose sum is σ = 5489168213760. Its totient is φ = 396174385152.

The previous prime is 1506691134691. The next prime is 1506691134749. The reversal of 1506691134720 is 274311966051.

1506691134720 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 69 + 113 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1506691134691) and next prime (1506691134749).

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1990344582 + ... + 1990345338.

Almost surely, 2^{1506691134720} is an apocalyptic number.

1506691134720 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 1506691134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744584106880).

1506691134720 is an abundant number, since it is smaller than the sum of its proper divisors (3982477079040).

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

1506691134720 is an frugal number, since it uses more digits than its factorization.

1506691134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1506691134720 in words is "one trillion, five hundred six billion, six hundred ninety-one million, one hundred thirty-four thousand, seven hundred twenty".