7439470507872 has 960 divisors, whose sum is σ = 24613337548800. Its totient is φ = 2189681786880.

The previous prime is 7439470507841. The next prime is 7439470507873. The reversal of 7439470507872 is 2787050749347.

7439470507872 is a `hidden beast` number, since 7 + 4 + 3 + 9 + 47 + 0 + 507 + 87 + 2 = 666.

It is a super-2 number, since 2×7439470507872² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7439470507873) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19124602654 + ... + 19124603042.

It is an arithmetic number, because the mean of its divisors is an integer number (25638893280).

Almost surely, 2^{7439470507872} is an apocalyptic number.

7439470507872 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 7439470507872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12306668774400).

7439470507872 is an abundant number, since it is smaller than the sum of its proper divisors (17173867040928).

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

7439470507872 is a wasteful number, since it uses less digits than its factorization.

7439470507872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 7439470507872 in words is "seven trillion, four hundred thirty-nine billion, four hundred seventy million, five hundred seven thousand, eight hundred seventy-two".