7242724000512 has 864 divisors, whose sum is σ = 29270761551360. Its totient is φ = 1736505630720.

The previous prime is 7242724000493. The next prime is 7242724000541. The reversal of 7242724000512 is 2150004272427.

7242724000512 is a `hidden beast` number, since 7 + 242 + 7 + 2 + 400 + 0 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48357613 + ... + 48507155.

It is an arithmetic number, because the mean of its divisors is an integer number (33878196240).

Almost surely, 2^{7242724000512} is an apocalyptic number.

7242724000512 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 7242724000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14635380775680).

7242724000512 is an abundant number, since it is smaller than the sum of its proper divisors (22028037550848).

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

7242724000512 is a wasteful number, since it uses less digits than its factorization.

7242724000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149606 (or 149579 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

Adding to 7242724000512 its reverse (2150004272427), we get a palindrome (9392728272939).

The spelling of 7242724000512 in words is "seven trillion, two hundred forty-two billion, seven hundred twenty-four million, five hundred twelve", and thus it is an aban number.