79751447043840 has 1152 divisors, whose sum is σ = 332729705871360. Its totient is φ = 17833269657600.

The previous prime is 79751447043817. The next prime is 79751447043847. The reversal of 79751447043840 is 4834074415797.

It is a happy number.

79751447043840 is a `hidden beast` number, since 7 + 9 + 7 + 51 + 44 + 70 + 438 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79751447043847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7675045045 + ... + 7675055435.

It is an arithmetic number, because the mean of its divisors is an integer number (288827869680).

Almost surely, 2^{79751447043840} 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 79751447043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166364852935680).

79751447043840 is an abundant number, since it is smaller than the sum of its proper divisors (252978258827520).

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

79751447043840 is a wasteful number, since it uses less digits than its factorization.

79751447043840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11998 (or 11978 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 79751447043840 in words is "seventy-nine trillion, seven hundred fifty-one billion, four hundred forty-seven million, forty-three thousand, eight hundred forty".