7342331854464 has 768 divisors, whose sum is σ = 24888617712000. Its totient is φ = 2123058511872.

The previous prime is 7342331854439. The next prime is 7342331854469. The reversal of 7342331854464 is 4644581332437.

7342331854464 is a `hidden beast` number, since 7 + 3 + 4 + 2 + 3 + 31 + 8 + 544 + 64 = 666.

It is a super-2 number, since 2×7342331854464² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7342331854464.

It is not an unprimeable number, because it can be changed into a prime (7342331854469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 702139924 + ... + 702150380.

Almost surely, 2^{7342331854464} is an apocalyptic number.

7342331854464 is a gapful number since it is divisible by the number (74) 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 7342331854464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12444308856000).

7342331854464 is an abundant number, since it is smaller than the sum of its proper divisors (17546285857536).

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

7342331854464 is a wasteful number, since it uses less digits than its factorization.

7342331854464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10570 (or 10535 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 54.

The spelling of 7342331854464 in words is "seven trillion, three hundred forty-two billion, three hundred thirty-one million, eight hundred fifty-four thousand, four hundred sixty-four".