7820745633792 has 1040 divisors, whose sum is σ = 29535615248832. Its totient is φ = 2006581248000.

The previous prime is 7820745633707. The next prime is 7820745633793. The reversal of 7820745633792 is 2973365470287.

7820745633792 is a `hidden beast` number, since 7 + 8 + 207 + 4 + 5 + 6 + 337 + 92 = 666.

It is a super-2 number, since 2×7820745633792² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7820745633793) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1117086292 + ... + 1117093292.

Almost surely, 2^{7820745633792} is an apocalyptic number.

7820745633792 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 7820745633792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767807624416).

7820745633792 is an abundant number, since it is smaller than the sum of its proper divisors (21714869615040).

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

7820745633792 is a wasteful number, since it uses less digits than its factorization.

7820745633792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7094 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 7820745633792 in words is "seven trillion, eight hundred twenty billion, seven hundred forty-five million, six hundred thirty-three thousand, seven hundred ninety-two".