7038820992 has 128 divisors (see below), whose sum is σ = 21804336000. Its totient is φ = 2011054080.

The previous prime is 7038820937. The next prime is 7038820993. The reversal of 7038820992 is 2990288307.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7038820993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104992 + ... + 158432.

It is an arithmetic number, because the mean of its divisors is an integer number (170346375).

Almost surely, 2^7038820992 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 7038820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10902168000).

7038820992 is an abundant number, since it is smaller than the sum of its proper divisors (14765515008).

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

7038820992 is an equidigital number, since it uses as much as digits as its factorization.

7038820992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53479 (or 53453 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 7038820992 is about 83897.6816842992. The cubic root of 7038820992 is about 1916.4609458984.

The spelling of 7038820992 in words is "seven billion, thirty-eight million, eight hundred twenty thousand, nine hundred ninety-two".