74059352640 has 1344 divisors, whose sum is σ = 328403712000. Its totient is φ = 15216574464.

The previous prime is 74059352621. The next prime is 74059352641. The reversal of 74059352640 is 4625395047.

74059352640 is a `hidden beast` number, since 7 + 4 + 0 + 593 + 52 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74059352641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 937460121 + ... + 937460199.

It is an arithmetic number, because the mean of its divisors is an integer number (244348000).

Almost surely, 2^74059352640 is an apocalyptic number.

74059352640 is a gapful number since it is divisible by the number (70) 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 74059352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164201856000).

74059352640 is an abundant number, since it is smaller than the sum of its proper divisors (254344359360).

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

74059352640 is a wasteful number, since it uses less digits than its factorization.

74059352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 74059352640 in words is "seventy-four billion, fifty-nine million, three hundred fifty-two thousand, six hundred forty".