74268177480 has 384 divisors, whose sum is σ = 293811598080. Its totient is φ = 16516224000.

The previous prime is 74268177479. The next prime is 74268177497. The reversal of 74268177480 is 8477186247.

74268177480 is a `hidden beast` number, since 7 + 426 + 8 + 177 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2502730 + ... + 2532230.

It is an arithmetic number, because the mean of its divisors is an integer number (765134370).

Almost surely, 2^74268177480 is an apocalyptic number.

74268177480 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 74268177480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146905799040).

74268177480 is an abundant number, since it is smaller than the sum of its proper divisors (219543420600).

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

74268177480 is a wasteful number, since it uses less digits than its factorization.

74268177480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29571 (or 29555 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 74268177480 in words is "seventy-four billion, two hundred sixty-eight million, one hundred seventy-seven thousand, four hundred eighty".