7461642661200 has 2880 divisors, whose sum is σ = 36012461721600. Its totient is φ = 1439094988800.

The previous prime is 7461642661183. The next prime is 7461642661201. The reversal of 7461642661200 is 21662461647.

7461642661200 is a `hidden beast` number, since 7 + 4 + 6 + 1 + 6 + 4 + 26 + 612 + 0 + 0 = 666.

It is a super-3 number, since 3×7461642661200³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7461642661201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4873704435 + ... + 4873705965.

Almost surely, 2^{7461642661200} is an apocalyptic number.

7461642661200 is a gapful number since it is divisible by the number (70) 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 7461642661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18006230860800).

7461642661200 is an abundant number, since it is smaller than the sum of its proper divisors (28550819060400).

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

7461642661200 is a wasteful number, since it uses less digits than its factorization.

7461642661200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 7461642661200 in words is "seven trillion, four hundred sixty-one billion, six hundred forty-two million, six hundred sixty-one thousand, two hundred".