1072696671360 has 384 divisors, whose sum is σ = 3786677294400. Its totient is φ = 279741800448.

The previous prime is 1072696671337. The next prime is 1072696671463. The reversal of 1072696671360 is 631766962701.

It is a happy number.

1072696671360 is a `hidden beast` number, since 10 + 7 + 269 + 6 + 6 + 7 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1072696671297 and 1072696671306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53632882 + ... + 53652878.

Almost surely, 2^{1072696671360} is an apocalyptic number.

1072696671360 is a gapful number since it is divisible by the number (10) 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 1072696671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893338647200).

1072696671360 is an abundant number, since it is smaller than the sum of its proper divisors (2713980623040).

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

1072696671360 is a wasteful number, since it uses less digits than its factorization.

1072696671360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20228 (or 20213 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 1072696671360 in words is "one trillion, seventy-two billion, six hundred ninety-six million, six hundred seventy-one thousand, three hundred sixty".