7742912040 has 128 divisors (see below), whose sum is σ = 26296876800. Its totient is φ = 2025803520.

The previous prime is 7742911999. The next prime is 7742912059. The reversal of 7742912040 is 402192477.

7742912040 is a `hidden beast` number, since 77 + 429 + 120 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7742911986 and 7742912004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10396 + ... + 124875.

It is an arithmetic number, because the mean of its divisors is an integer number (205444350).

Almost surely, 2^7742912040 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 7742912040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13148438400).

7742912040 is an abundant number, since it is smaller than the sum of its proper divisors (18553964760).

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

7742912040 is a wasteful number, since it uses less digits than its factorization.

7742912040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135344 (or 135334 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7742912040 is about 87993.8181919616. The cubic root of 7742912040 is about 1978.3423223870.

The spelling of 7742912040 in words is "seven billion, seven hundred forty-two million, nine hundred twelve thousand, forty".