74477619072 has 512 divisors, whose sum is σ = 247287168000. Its totient is φ = 21929066496.

The previous prime is 74477619059. The next prime is 74477619077. The reversal of 74477619072 is 27091677447.

74477619072 is a `hidden beast` number, since 7 + 447 + 7 + 6 + 190 + 7 + 2 = 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 (74477619077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152931213 + ... + 152931699.

It is an arithmetic number, because the mean of its divisors is an integer number (482982750).

Almost surely, 2^74477619072 is an apocalyptic number.

74477619072 is a gapful number since it is divisible by the number (72) 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 74477619072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123643584000).

74477619072 is an abundant number, since it is smaller than the sum of its proper divisors (172809548928).

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

74477619072 is a wasteful number, since it uses less digits than its factorization.

74477619072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 74477619072 in words is "seventy-four billion, four hundred seventy-seven million, six hundred nineteen thousand, seventy-two".