7692248989152 has 2592 divisors, whose sum is σ = 31133659048128. Its totient is φ = 1785411403776.

The previous prime is 7692248989133. The next prime is 7692248989153. The reversal of 7692248989152 is 2519898422967.

7692248989152 is a `hidden beast` number, since 7 + 6 + 9 + 2 + 2 + 489 + 8 + 91 + 52 = 666.

It is a super-2 number, since 2×7692248989152² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7692248989153) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 68072999848 + ... + 68072999960.

It is an arithmetic number, because the mean of its divisors is an integer number (12011442534).

Almost surely, 2^{7692248989152} is an apocalyptic number.

7692248989152 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 7692248989152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15566829524064).

7692248989152 is an abundant number, since it is smaller than the sum of its proper divisors (23441410058976).

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

7692248989152 is a wasteful number, since it uses less digits than its factorization.

7692248989152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 251 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 7692248989152 in words is "seven trillion, six hundred ninety-two billion, two hundred forty-eight million, nine hundred eighty-nine thousand, one hundred fifty-two".