7611426201456 has 1280 divisors, whose sum is σ = 30083788800000. Its totient is φ = 1782582681600.

The previous prime is 7611426201451. The next prime is 7611426201497. The reversal of 7611426201456 is 6541026241167.

7611426201456 is a `hidden beast` number, since 7 + 6 + 1 + 1 + 4 + 2 + 620 + 14 + 5 + 6 = 666.

It is a super-3 number, since 3×7611426201456³ (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 (7611426201451) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1301318020 + ... + 1301323868.

It is an arithmetic number, because the mean of its divisors is an integer number (23502960000).

Almost surely, 2^{7611426201456} is an apocalyptic number.

7611426201456 is a gapful number since it is divisible by the number (76) 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 7611426201456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15041894400000).

7611426201456 is an abundant number, since it is smaller than the sum of its proper divisors (22472362598544).

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

7611426201456 is a wasteful number, since it uses less digits than its factorization.

7611426201456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6003 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 7611426201456 in words is "seven trillion, six hundred eleven billion, four hundred twenty-six million, two hundred one thousand, four hundred fifty-six".