7423751345472 has 1792 divisors, whose sum is σ = 29901494476800. Its totient is φ = 1747158958080.

The previous prime is 7423751345453. The next prime is 7423751345477. The reversal of 7423751345472 is 2745431573247.

7423751345472 is a `hidden beast` number, since 7 + 4 + 2 + 3 + 7 + 513 + 4 + 54 + 72 = 666.

It is a super-2 number, since 2×7423751345472² (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).

Its product of digits (19756800) is a multiple of the sum of its prime factors (1029).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7423751345477) 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 255 ways as a sum of consecutive naturals, for example, 8955067554 + ... + 8955068382.

Almost surely, 2^{7423751345472} is an apocalyptic number.

7423751345472 is a gapful number since it is divisible by the number (72) 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 7423751345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14950747238400).

7423751345472 is an abundant number, since it is smaller than the sum of its proper divisors (22477743131328).

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

7423751345472 is a wasteful number, since it uses less digits than its factorization.

7423751345472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1013 counting only the distinct ones).

The product of its digits is 19756800, while the sum is 54.

The spelling of 7423751345472 in words is "seven trillion, four hundred twenty-three billion, seven hundred fifty-one million, three hundred forty-five thousand, four hundred seventy-two".