7521217284672 has 672 divisors, whose sum is σ = 27392013653760. Its totient is φ = 1981518888960.

The previous prime is 7521217284667. The next prime is 7521217284689. The reversal of 7521217284672 is 2764827121257.

7521217284672 is a `hidden beast` number, since 7 + 5 + 2 + 1 + 2 + 172 + 8 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×7521217284672² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3297332172 + ... + 3297334452.

It is an arithmetic number, because the mean of its divisors is an integer number (40761925080).

Almost surely, 2^{7521217284672} is an apocalyptic number.

7521217284672 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 7521217284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696006826880).

7521217284672 is an abundant number, since it is smaller than the sum of its proper divisors (19870796369088).

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

7521217284672 is a wasteful number, since it uses less digits than its factorization.

7521217284672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3919 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The spelling of 7521217284672 in words is "seven trillion, five hundred twenty-one billion, two hundred seventeen million, two hundred eighty-four thousand, six hundred seventy-two".