7452268572672 has 1872 divisors, whose sum is σ = 29366818790400. Its totient is φ = 1865005793280.

The previous prime is 7452268572631. The next prime is 7452268572713. The reversal of 7452268572672 is 2762758622547.

It is a happy number.

7452268572672 is a `hidden beast` number, since 7 + 4 + 52 + 2 + 6 + 8 + 572 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7452268572631) and next prime (7452268572713).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15557971729 + ... + 15557972207.

It is an arithmetic number, because the mean of its divisors is an integer number (15687403200).

Almost surely, 2^{7452268572672} is an apocalyptic number.

7452268572672 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 7452268572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14683409395200).

7452268572672 is an abundant number, since it is smaller than the sum of its proper divisors (21914550217728).

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

7452268572672 is a wasteful number, since it uses less digits than its factorization.

7452268572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 531 counting only the distinct ones).

The product of its digits is 158054400, while the sum is 63.

The spelling of 7452268572672 in words is "seven trillion, four hundred fifty-two billion, two hundred sixty-eight million, five hundred seventy-two thousand, six hundred seventy-two".