7340727711672 has 512 divisors, whose sum is σ = 22138047360000. Its totient is φ = 2246654361600.

The previous prime is 7340727711661. The next prime is 7340727711673. The reversal of 7340727711672 is 2761177270437.

7340727711672 is a `hidden beast` number, since 7 + 3 + 407 + 2 + 7 + 71 + 167 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7340727711673) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12722231448 + ... + 12722232024.

It is an arithmetic number, because the mean of its divisors is an integer number (43238373750).

Almost surely, 2^{7340727711672} is an apocalyptic number.

7340727711672 is a gapful number since it is divisible by the number (72) 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 7340727711672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11069023680000).

7340727711672 is an abundant number, since it is smaller than the sum of its proper divisors (14797319648328).

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

7340727711672 is a wasteful number, since it uses less digits than its factorization.

7340727711672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 4840416, while the sum is 54.

The spelling of 7340727711672 in words is "seven trillion, three hundred forty billion, seven hundred twenty-seven million, seven hundred eleven thousand, six hundred seventy-two".