1627405140672 has 168 divisors, whose sum is σ = 4681601593344. Its totient is φ = 540501566976.

The previous prime is 1627405140661. The next prime is 1627405140731. The reversal of 1627405140672 is 2760415047261.

1627405140672 is a `hidden beast` number, since 1 + 6 + 2 + 74 + 0 + 514 + 0 + 67 + 2 = 666.

It is a super-3 number, since 3×1627405140672³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256563933 + ... + 256570275.

Almost surely, 2^{1627405140672} is an apocalyptic number.

1627405140672 is a gapful number since it is divisible by the number (12) 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 1627405140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340800796672).

1627405140672 is an abundant number, since it is smaller than the sum of its proper divisors (3054196452672).

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

1627405140672 is a wasteful number, since it uses less digits than its factorization.

1627405140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7907 (or 7894 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1627405140672 in words is "one trillion, six hundred twenty-seven billion, four hundred five million, one hundred forty thousand, six hundred seventy-two".