7342006015872 has 512 divisors, whose sum is σ = 26117860838400. Its totient is φ = 2002930237440.

The previous prime is 7342006015853. The next prime is 7342006015891. The reversal of 7342006015872 is 2785106002437.

7342006015872 is a `hidden beast` number, since 7 + 3 + 4 + 2 + 0 + 0 + 60 + 1 + 587 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7342006015853) and next prime (7342006015891).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14617288 + ... + 15111224.

It is an arithmetic number, because the mean of its divisors is an integer number (51011446950).

Almost surely, 2^{7342006015872} is an apocalyptic number.

7342006015872 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 7342006015872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13058930419200).

7342006015872 is an abundant number, since it is smaller than the sum of its proper divisors (18775854822528).

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

7342006015872 is a wasteful number, since it uses less digits than its factorization.

7342006015872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494011 (or 493993 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 7342006015872 in words is "seven trillion, three hundred forty-two billion, six million, fifteen thousand, eight hundred seventy-two".