1376534793672 has 160 divisors (see below), whose sum is σ = 3877275600000. Its totient is φ = 456267157632.

The previous prime is 1376534793671. The next prime is 1376534793769. The reversal of 1376534793672 is 2763974356731.

1376534793672 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 534 + 7 + 93 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×1376534793672² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1376534793671) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127463329 + ... + 127474127.

It is an arithmetic number, because the mean of its divisors is an integer number (24232972500).

Almost surely, 2^{1376534793672} is an apocalyptic number.

1376534793672 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 1376534793672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938637800000).

1376534793672 is an abundant number, since it is smaller than the sum of its proper divisors (2500740806328).

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

1376534793672 is a wasteful number, since it uses less digits than its factorization.

1376534793672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11905 (or 11892 counting only the distinct ones).

The product of its digits is 120022560, while the sum is 63.

The spelling of 1376534793672 in words is "one trillion, three hundred seventy-six billion, five hundred thirty-four million, seven hundred ninety-three thousand, six hundred seventy-two".