1506736078848 has 1440 divisors, whose sum is σ = 6091633548000. Its totient is φ = 348798320640.

The previous prime is 1506736078829. The next prime is 1506736078889. The reversal of 1506736078848 is 8488706376051.

1506736078848 is a `hidden beast` number, since 1 + 506 + 7 + 3 + 6 + 0 + 7 + 88 + 48 = 666.

It is a super-2 number, since 2×1506736078848² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 71 ways as a sum of consecutive naturals, for example, 51956416498 + ... + 51956416526.

It is an arithmetic number, because the mean of its divisors is an integer number (4230301075).

Almost surely, 2^{1506736078848} is an apocalyptic number.

1506736078848 is a gapful number since it is divisible by the number (18) 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 1506736078848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045816774000).

1506736078848 is an abundant number, since it is smaller than the sum of its proper divisors (4584897469152).

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

1506736078848 is an equidigital number, since it uses as much as digits as its factorization.

1506736078848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 1506736078848 in words is "one trillion, five hundred six billion, seven hundred thirty-six million, seventy-eight thousand, eight hundred forty-eight".