1071620364672 has 512 divisors, whose sum is σ = 3843878976000. Its totient is φ = 289413734400.

The previous prime is 1071620364671. The next prime is 1071620364761. The reversal of 1071620364672 is 2764630261701.

1071620364672 is a `hidden beast` number, since 10 + 7 + 1 + 620 + 3 + 6 + 4 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×1071620364672² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071620364671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14294647 + ... + 14369417.

It is an arithmetic number, because the mean of its divisors is an integer number (7507576125).

Almost surely, 2^{1071620364672} is an apocalyptic number.

1071620364672 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 1071620364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921939488000).

1071620364672 is an abundant number, since it is smaller than the sum of its proper divisors (2772258611328).

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

1071620364672 is a wasteful number, since it uses less digits than its factorization.

1071620364672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74847 (or 74829 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1071620364672 in words is "one trillion, seventy-one billion, six hundred twenty million, three hundred sixty-four thousand, six hundred seventy-two".