74559403376640 has 2880 divisors, whose sum is σ = 334709337231360. Its totient is φ = 15502273413120.

The previous prime is 74559403376629. The next prime is 74559403376659. The reversal of 74559403376640 is 4667330495547.

It is a happy number.

74559403376640 is a `hidden beast` number, since 7 + 4 + 5 + 594 + 0 + 3 + 37 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 143108259580 + ... + 143108260100.

It is an arithmetic number, because the mean of its divisors is an integer number (116218519872).

Almost surely, 2^{74559403376640} is an apocalyptic number.

74559403376640 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 74559403376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167354668615680).

74559403376640 is an abundant number, since it is smaller than the sum of its proper divisors (260149933854720).

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

74559403376640 is an equidigital number, since it uses as much as digits as its factorization.

74559403376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 63.

The spelling of 74559403376640 in words is "seventy-four trillion, five hundred fifty-nine billion, four hundred three million, three hundred seventy-six thousand, six hundred forty".