74563560419040 has 576 divisors, whose sum is σ = 323983740487680. Its totient is φ = 15164072017920.

The previous prime is 74563560418981. The next prime is 74563560419147. The reversal of 74563560419040 is 4091406536547.

It is a happy number.

74563560419040 is a `hidden beast` number, since 7 + 4 + 5 + 63 + 560 + 4 + 19 + 0 + 4 + 0 = 666.

It is a congruent number.

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, 1942585 + ... + 12365304.

It is an arithmetic number, because the mean of its divisors is an integer number (562471771680).

Almost surely, 2^{74563560419040} is an apocalyptic number.

74563560419040 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 74563560419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161991870243840).

74563560419040 is an abundant number, since it is smaller than the sum of its proper divisors (249420180068640).

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

74563560419040 is a wasteful number, since it uses less digits than its factorization.

74563560419040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14307975 (or 14307964 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 74563560419040 in words is "seventy-four trillion, five hundred sixty-three billion, five hundred sixty million, four hundred nineteen thousand, forty".