74774054880 has 960 divisors, whose sum is σ = 312551265600. Its totient is φ = 16899176448.

The previous prime is 74774054869. The next prime is 74774054881. The reversal of 74774054880 is 8845047747.

74774054880 is a `hidden beast` number, since 7 + 477 + 40 + 54 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74774054881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 840157876 + ... + 840157964.

It is an arithmetic number, because the mean of its divisors is an integer number (325574235).

Almost surely, 2^74774054880 is an apocalyptic number.

74774054880 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 74774054880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156275632800).

74774054880 is an abundant number, since it is smaller than the sum of its proper divisors (237777210720).

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

74774054880 is an frugal number, since it uses more digits than its factorization.

74774054880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 54.

The spelling of 74774054880 in words is "seventy-four billion, seven hundred seventy-four million, fifty-four thousand, eight hundred eighty".