7962938000 has 240 divisors, whose sum is σ = 20894131440. Its totient is φ = 2932992000.

The previous prime is 7962937999. The next prime is 7962938033. The reversal of 7962938000 is 8392697.

It can be written as a sum of positive squares in 8 ways, for example, as 6637686784 + 1325251216 = 81472^2 + 36404^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29601866 + ... + 29602134.

It is an arithmetic number, because the mean of its divisors is an integer number (87058881).

Almost surely, 2^7962938000 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 7962938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10447065720).

7962938000 is an abundant number, since it is smaller than the sum of its proper divisors (12931193440).

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

7962938000 is a wasteful number, since it uses less digits than its factorization.

7962938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 7962938000 is about 89235.2957074722. The cubic root of 7962938000 is about 1996.9067182705.

The spelling of 7962938000 in words is "seven billion, nine hundred sixty-two million, nine hundred thirty-eight thousand".