74296479456 has 288 divisors, whose sum is σ = 226053828000. Its totient is φ = 23079665664.

The previous prime is 74296479403. The next prime is 74296479461. The reversal of 74296479456 is 65497469247.

It is a happy number.

74296479456 is a `hidden beast` number, since 74 + 2 + 96 + 479 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 74296479393 and 74296479402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181653780 + ... + 181654188.

It is an arithmetic number, because the mean of its divisors is an integer number (784909125).

Almost surely, 2^74296479456 is an apocalyptic number.

74296479456 is a gapful number since it is divisible by the number (76) 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 74296479456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113026914000).

74296479456 is an abundant number, since it is smaller than the sum of its proper divisors (151757348544).

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

74296479456 is a wasteful number, since it uses less digits than its factorization.

74296479456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 895 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 74296479456 in words is "seventy-four billion, two hundred ninety-six million, four hundred seventy-nine thousand, four hundred fifty-six".