7650381312000 has 3120 divisors, whose sum is σ = 34873342650432. Its totient is φ = 1633930444800.

The previous prime is 7650381311987. The next prime is 7650381312011. The reversal of 7650381312000 is 2131830567.

7650381312000 is a `hidden beast` number, since 76 + 5 + 0 + 381 + 3 + 1 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 104799743964 + ... + 104799744036.

Almost surely, 2^{7650381312000} is an apocalyptic number.

7650381312000 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 7650381312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436671325216).

7650381312000 is an abundant number, since it is smaller than the sum of its proper divisors (27222961338432).

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

7650381312000 is an equidigital number, since it uses as much as digits as its factorization.

7650381312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 7650381312000 in words is "seven trillion, six hundred fifty billion, three hundred eighty-one million, three hundred twelve thousand".