74072819927808 has 648 divisors, whose sum is σ = 240721912704000. Its totient is φ = 22706661519360.

The previous prime is 74072819927807. The next prime is 74072819927833. The reversal of 74072819927808 is 80872991827047.

74072819927808 is a `hidden beast` number, since 7 + 407 + 2 + 8 + 199 + 27 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (74072819927803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2849051193 + ... + 2849077191.

Almost surely, 2^{74072819927808} is an apocalyptic number.

74072819927808 is a gapful number since it is divisible by the number (78) 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 74072819927808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120360956352000).

74072819927808 is an abundant number, since it is smaller than the sum of its proper divisors (166649092776192).

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

74072819927808 is a wasteful number, since it uses less digits than its factorization.

74072819927808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26327 (or 26288 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 72.

The spelling of 74072819927808 in words is "seventy-four trillion, seventy-two billion, eight hundred nineteen million, nine hundred twenty-seven thousand, eight hundred eight".