7662138000 has 320 divisors, whose sum is σ = 28537816320. Its totient is φ = 1747968000.

The previous prime is 7662137981. The next prime is 7662138059. The reversal of 7662138000 is 8312667.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1118586 + ... + 1125414.

It is an arithmetic number, because the mean of its divisors is an integer number (89180676).

Almost surely, 2^7662138000 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 7662138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268908160).

7662138000 is an abundant number, since it is smaller than the sum of its proper divisors (20875678320).

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

7662138000 is a wasteful number, since it uses less digits than its factorization.

7662138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 7662138000 is about 87533.6392480057. The cubic root of 7662138000 is about 1971.4389068381.

The spelling of 7662138000 in words is "seven billion, six hundred sixty-two million, one hundred thirty-eight thousand".