7742838972 has 192 divisors, whose sum is σ = 21319925760. Its totient is φ = 2161152000.

The previous prime is 7742838959. The next prime is 7742838991. The reversal of 7742838972 is 2798382477.

It is a congruent number.

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, 28783654 + ... + 28783922.

It is an arithmetic number, because the mean of its divisors is an integer number (111041280).

Almost surely, 2^7742838972 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 7742838972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10659962880).

7742838972 is an abundant number, since it is smaller than the sum of its proper divisors (13577086788).

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

7742838972 is a wasteful number, since it uses less digits than its factorization.

7742838972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 57.

The square root of 7742838972 is about 87993.4030027252. The cubic root of 7742838972 is about 1978.3360993205.

The spelling of 7742838972 in words is "seven billion, seven hundred forty-two million, eight hundred thirty-eight thousand, nine hundred seventy-two".