1537680729456 has 160 divisors (see below), whose sum is σ = 4642057175040. Its totient is φ = 486666835200.

The previous prime is 1537680729419. The next prime is 1537680729461. The reversal of 1537680729456 is 6549270867351.

1537680729456 is a `hidden beast` number, since 1 + 5 + 37 + 6 + 80 + 72 + 9 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1537680729393 and 1537680729402.

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 31 ways as a sum of consecutive naturals, for example, 373440 + ... + 1792991.

It is an arithmetic number, because the mean of its divisors is an integer number (29012857344).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1537680729456 = 3075361458912, but 3⋅1537680729456 = 4613042188368 is not.

Almost surely, 2^{1537680729456} is an apocalyptic number.

1537680729456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1537680729456 is an abundant number, since it is smaller than the sum of its proper divisors (3104376445584).

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

1537680729456 is a wasteful number, since it uses less digits than its factorization.

1537680729456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166532 (or 2166520 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 1537680729456 in words is "one trillion, five hundred thirty-seven billion, six hundred eighty million, seven hundred twenty-nine thousand, four hundred fifty-six".