7638262380000 has 720 divisors, whose sum is σ = 31247644428000. Its totient is φ = 1733105664000.

The previous prime is 7638262379963. The next prime is 7638262380029. The reversal of 7638262380000 is 832628367.

7638262380000 is a `hidden beast` number, since 7 + 6 + 3 + 8 + 262 + 380 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 172597876 + ... + 172642124.

It is an arithmetic number, because the mean of its divisors is an integer number (43399506150).

Almost surely, 2^{7638262380000} is an apocalyptic number.

7638262380000 is a gapful number since it is divisible by the number (70) 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 7638262380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15623822214000).

7638262380000 is an abundant number, since it is smaller than the sum of its proper divisors (23609382048000).

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

7638262380000 is a wasteful number, since it uses less digits than its factorization.

7638262380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44429 (or 44403 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 7638262380000 in words is "seven trillion, six hundred thirty-eight billion, two hundred sixty-two million, three hundred eighty thousand".