74335036538880 has 3072 divisors, whose sum is σ = 307013938882560. Its totient is φ = 17122826649600.

The previous prime is 74335036538879. The next prime is 74335036538891. The reversal of 74335036538880 is 8883563053347.

It is a happy number.

74335036538880 is a `hidden beast` number, since 7 + 4 + 33 + 503 + 65 + 38 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 657832181704 + ... + 657832181816.

It is an arithmetic number, because the mean of its divisors is an integer number (99939433230).

Almost surely, 2^{74335036538880} 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 74335036538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153506969441280).

74335036538880 is an abundant number, since it is smaller than the sum of its proper divisors (232678902343680).

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

74335036538880 is a wasteful number, since it uses less digits than its factorization.

74335036538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 74335036538880 in words is "seventy-four trillion, three hundred thirty-five billion, thirty-six million, five hundred thirty-eight thousand, eight hundred eighty".