7197456006 has 96 divisors (see below), whose sum is σ = 18156159840. Its totient is φ = 2041293312.

The previous prime is 7197455989. The next prime is 7197456023. The reversal of 7197456006 is 6006547917.

It is a happy number.

7197456006 is a `hidden beast` number, since 7 + 19 + 74 + 560 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7197455989) and next prime (7197456023).

It is a Curzon number.

It is a congruent number.

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, 142626 + ... + 186378.

It is an arithmetic number, because the mean of its divisors is an integer number (189126665).

Almost surely, 2^7197456006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7197456006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9078079920).

7197456006 is an abundant number, since it is smaller than the sum of its proper divisors (10958703834).

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

7197456006 is a wasteful number, since it uses less digits than its factorization.

7197456006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43830 (or 43827 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 7197456006 is about 84837.8217895768. The cubic root of 7197456006 is about 1930.7513165684.

It can be divided in two parts, 7197 and 456006, that added together give a triangular number (463203 = T₉₆₂).

The spelling of 7197456006 in words is "seven billion, one hundred ninety-seven million, four hundred fifty-six thousand, six".