7332997351680 has 864 divisors, whose sum is σ = 34065159448320. Its totient is φ = 1406526750720.

The previous prime is 7332997351597. The next prime is 7332997351697. The reversal of 7332997351680 is 861537992337.

7332997351680 is a `hidden beast` number, since 7 + 3 + 3 + 29 + 97 + 3 + 516 + 8 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11213566 + ... + 11849474.

It is an arithmetic number, because the mean of its divisors is an integer number (39427267880).

Almost surely, 2^{7332997351680} is an apocalyptic number.

7332997351680 is a gapful number since it is divisible by the number (70) 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 7332997351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17032579724160).

7332997351680 is an abundant number, since it is smaller than the sum of its proper divisors (26732162096640).

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

7332997351680 is a wasteful number, since it uses less digits than its factorization.

7332997351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635967 (or 635950 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 7332997351680 in words is "seven trillion, three hundred thirty-two billion, nine hundred ninety-seven million, three hundred fifty-one thousand, six hundred eighty".