74015463742704 has 320 divisors, whose sum is σ = 238056568404480. Its totient is φ = 21820262215680.

The previous prime is 74015463742669. The next prime is 74015463742711. The reversal of 74015463742704 is 40724736451047.

74015463742704 is a `hidden beast` number, since 7 + 4 + 0 + 1 + 546 + 3 + 74 + 27 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2045342499 + ... + 2045378685.

It is an arithmetic number, because the mean of its divisors is an integer number (743926776264).

Almost surely, 2^{74015463742704} is an apocalyptic number.

74015463742704 is a gapful number since it is divisible by the number (74) 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 74015463742704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119028284202240).

74015463742704 is an abundant number, since it is smaller than the sum of its proper divisors (164041104661776).

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

74015463742704 is a wasteful number, since it uses less digits than its factorization.

74015463742704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47885 (or 47873 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 54.

The spelling of 74015463742704 in words is "seventy-four trillion, fifteen billion, four hundred sixty-three million, seven hundred forty-two thousand, seven hundred four".