7467370960896 has 768 divisors, whose sum is σ = 27624825446400. Its totient is φ = 1936311091200.

The previous prime is 7467370960877. The next prime is 7467370960901. The reversal of 7467370960896 is 6980690737647.

7467370960896 is a `hidden beast` number, since 7 + 4 + 6 + 7 + 3 + 7 + 0 + 9 + 608 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×7467370960896² (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 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 63 ways as a sum of consecutive naturals, for example, 3504161751 + ... + 3504163881.

It is an arithmetic number, because the mean of its divisors is an integer number (35969824800).

Almost surely, 2^{7467370960896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7467370960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812412723200).

7467370960896 is an abundant number, since it is smaller than the sum of its proper divisors (20157454485504).

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

7467370960896 is a wasteful number, since it uses less digits than its factorization.

7467370960896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 7467370960896 in words is "seven trillion, four hundred sixty-seven billion, three hundred seventy million, nine hundred sixty thousand, eight hundred ninety-six".