7420796824896 has 2520 divisors, whose sum is σ = 29836803237120. Its totient is φ = 1784376262656.

The previous prime is 7420796824829. The next prime is 7420796824919. The reversal of 7420796824896 is 6984286970247.

7420796824896 is a `hidden beast` number, since 7 + 4 + 207 + 96 + 8 + 248 + 96 = 666.

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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 93934136985 + ... + 93934137063.

Almost surely, 2^{7420796824896} 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 7420796824896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14918401618560).

7420796824896 is an abundant number, since it is smaller than the sum of its proper divisors (22416006412224).

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

7420796824896 is a wasteful number, since it uses less digits than its factorization.

7420796824896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 7420796824896 in words is "seven trillion, four hundred twenty billion, seven hundred ninety-six million, eight hundred twenty-four thousand, eight hundred ninety-six".