7461643944384 has 672 divisors, whose sum is σ = 26137651438080. Its totient is φ = 1987757604864.

The previous prime is 7461643944383. The next prime is 7461643944389. The reversal of 7461643944384 is 4834493461647.

It is a happy number.

7461643944384 is a `hidden beast` number, since 7 + 4 + 6 + 164 + 3 + 94 + 4 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×7461643944384² (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7461643944383) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3282728272 + ... + 3282730544.

It is an arithmetic number, because the mean of its divisors is an integer number (38895314640).

Almost surely, 2^{7461643944384} 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 7461643944384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13068825719040).

7461643944384 is an abundant number, since it is smaller than the sum of its proper divisors (18676007493696).

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

7461643944384 is a wasteful number, since it uses less digits than its factorization.

7461643944384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2964 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 63.

The spelling of 7461643944384 in words is "seven trillion, four hundred sixty-one billion, six hundred forty-three million, nine hundred forty-four thousand, three hundred eighty-four".