7742061936 has 720 divisors, whose sum is σ = 29108851200. Its totient is φ = 1902071808.

The previous prime is 7742061931. The next prime is 7742061949. The reversal of 7742061936 is 6391602477.

7742061936 is a `hidden beast` number, since 7 + 7 + 4 + 20 + 619 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7742061891 and 7742061900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7742061931) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98000745 + ... + 98000823.

It is an arithmetic number, because the mean of its divisors is an integer number (40428960).

Almost surely, 2^7742061936 is an apocalyptic number.

7742061936 is a gapful number since it is divisible by the number (76) 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 7742061936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14554425600).

7742061936 is an abundant number, since it is smaller than the sum of its proper divisors (21366789264).

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

7742061936 is a wasteful number, since it uses less digits than its factorization.

7742061936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7742061936 is about 87988.9875836744. The cubic root of 7742061936 is about 1978.2699181776.

The spelling of 7742061936 in words is "seven billion, seven hundred forty-two million, sixty-one thousand, nine hundred thirty-six".