7742037600000 has 1296 divisors, whose sum is σ = 30912882698880. Its totient is φ = 1847577600000.

The previous prime is 7742037599993. The next prime is 7742037600019. The reversal of 7742037600000 is 67302477.

7742037600000 is a `hidden beast` number, since 7 + 7 + 42 + 0 + 3 + 7 + 600 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5306399271 + ... + 5306400729.

Almost surely, 2^{7742037600000} 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 7742037600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456441349440).

7742037600000 is an abundant number, since it is smaller than the sum of its proper divisors (23170845098880).

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

7742037600000 is a wasteful number, since it uses less digits than its factorization.

7742037600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 7742037600000 in words is "seven trillion, seven hundred forty-two billion, thirty-seven million, six hundred thousand".