7461377066052 has 1296 divisors, whose sum is σ = 26295152083200. Its totient is φ = 1764507773952.

The previous prime is 7461377066023. The next prime is 7461377066183. The reversal of 7461377066052 is 2506607731647.

It is a happy number.

7461377066052 is a `hidden beast` number, since 7 + 461 + 3 + 7 + 70 + 6 + 60 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7461377066052.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 28370254873 + ... + 28370255135.

It is an arithmetic number, because the mean of its divisors is an integer number (20289469200).

Almost surely, 2^{7461377066052} 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 7461377066052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13147576041600).

7461377066052 is an abundant number, since it is smaller than the sum of its proper divisors (18833775017148).

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

7461377066052 is a wasteful number, since it uses less digits than its factorization.

7461377066052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 7461377066052 in words is "seven trillion, four hundred sixty-one billion, three hundred seventy-seven million, sixty-six thousand, fifty-two".