7461065993472 has 1728 divisors, whose sum is σ = 28660595174400. Its totient is φ = 1907506298880.

The previous prime is 7461065993399. The next prime is 7461065993497. The reversal of 7461065993472 is 2743995601647.

7461065993472 is a `hidden beast` number, since 7 + 4 + 6 + 1 + 0 + 6 + 599 + 34 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×7461065993472² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27531608697 + ... + 27531608967.

Almost surely, 2^{7461065993472} is an apocalyptic number.

7461065993472 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 7461065993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14330297587200).

7461065993472 is an abundant number, since it is smaller than the sum of its proper divisors (21199529180928).

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

7461065993472 is a wasteful number, since it uses less digits than its factorization.

7461065993472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 7461065993472 in words is "seven trillion, four hundred sixty-one billion, sixty-five million, nine hundred ninety-three thousand, four hundred seventy-two".