74813737440 has 192 divisors, whose sum is σ = 254761790976. Its totient is φ = 18345265152.

The previous prime is 74813737417. The next prime is 74813737447. The reversal of 74813737440 is 4473731847.

It is a Cunningham number, because it is equal to 273521²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 74813737440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74813737447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1618327 + ... + 1663913.

It is an arithmetic number, because the mean of its divisors is an integer number (1326884328).

Almost surely, 2^74813737440 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 74813737440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127380895488).

74813737440 is an abundant number, since it is smaller than the sum of its proper divisors (179948053536).

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

74813737440 is a wasteful number, since it uses less digits than its factorization.

74813737440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45881 (or 45873 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The spelling of 74813737440 in words is "seventy-four billion, eight hundred thirteen million, seven hundred thirty-seven thousand, four hundred forty".