1540918677627 has 96 divisors (see below), whose sum is σ = 2764852613120. Its totient is φ = 807021895680.

The previous prime is 1540918677587. The next prime is 1540918677673. The reversal of 1540918677627 is 7267768190451.

1540918677627 is a `hidden beast` number, since 1 + 540 + 9 + 1 + 8 + 67 + 7 + 6 + 27 = 666.

It is not a de Polignac number, because 1540918677627 - 2⁶ = 1540918677563 is a prime.

It is a super-2 number, since 2×1540918677627² (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 Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1540918677527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235143783 + ... + 235150335.

Almost surely, 2^{1540918677627} is an apocalyptic number.

1540918677627 is a deficient number, since it is larger than the sum of its proper divisors (1223933935493).

1540918677627 is a wasteful number, since it uses less digits than its factorization.

1540918677627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12953 (or 12950 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 1540918677627 in words is "one trillion, five hundred forty billion, nine hundred eighteen million, six hundred seventy-seven thousand, six hundred twenty-seven".