5742500946 has 128 divisors (see below), whose sum is σ = 15095808000. Its totient is φ = 1414990080.

The previous prime is 5742500927. The next prime is 5742500957. The reversal of 5742500946 is 6490052475.

It is a super-2 number, since 2×5742500946² = 65952634229621789832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5742500898 and 5742500907.

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, 485005 + ... + 496703.

It is an arithmetic number, because the mean of its divisors is an integer number (117936000).

Almost surely, 2^5742500946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5742500946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547904000).

5742500946 is an abundant number, since it is smaller than the sum of its proper divisors (9353307054).

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

5742500946 is a wasteful number, since it uses less digits than its factorization.

5742500946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11784.

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 5742500946 is about 75779.2910101434. The cubic root of 5742500946 is about 1790.7447714835.

The spelling of 5742500946 in words is "five billion, seven hundred forty-two million, five hundred thousand, nine hundred forty-six".