7457142879732 has 384 divisors, whose sum is σ = 22379934044160. Its totient is φ = 1880368680960.

The previous prime is 7457142879713. The next prime is 7457142879733. The reversal of 7457142879732 is 2379782417547.

It is a super-3 number, since 3×7457142879732³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7457142879733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 590939319 + ... + 590951937.

It is an arithmetic number, because the mean of its divisors is an integer number (58281078240).

Almost surely, 2^{7457142879732} 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 7457142879732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11189967022080).

7457142879732 is an abundant number, since it is smaller than the sum of its proper divisors (14922791164428).

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

7457142879732 is a wasteful number, since it uses less digits than its factorization.

7457142879732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12951 (or 12949 counting only the distinct ones).

The product of its digits is 165957120, while the sum is 66.

The spelling of 7457142879732 in words is "seven trillion, four hundred fifty-seven billion, one hundred forty-two million, eight hundred seventy-nine thousand, seven hundred thirty-two".