74913419978496 has 432 divisors, whose sum is σ = 239151851877120. Its totient is φ = 22550558976000.

The previous prime is 74913419978473. The next prime is 74913419978587. The reversal of 74913419978496 is 69487991431947.

74913419978496 is a `hidden beast` number, since 7 + 4 + 9 + 1 + 34 + 1 + 9 + 97 + 8 + 496 = 666.

It is a super-4 number, since 4×74913419978496⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 462979335 + ... + 463141113.

Almost surely, 2^{74913419978496} 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 74913419978496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119575925938560).

74913419978496 is an abundant number, since it is smaller than the sum of its proper divisors (164238431898624).

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

74913419978496 is a wasteful number, since it uses less digits than its factorization.

74913419978496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161985 (or 161946 counting only the distinct ones).

The product of its digits is 2962842624, while the sum is 81.

It can be divided in two parts, 749134199 and 78496, that added together give a triangular number (749212695 = T₃₈₇₀₉).

The spelling of 74913419978496 in words is "seventy-four trillion, nine hundred thirteen billion, four hundred nineteen million, nine hundred seventy-eight thousand, four hundred ninety-six".