74860208640 has 1440 divisors, whose sum is σ = 333520260480. Its totient is φ = 15838986240.

The previous prime is 74860208629. The next prime is 74860208681. The reversal of 74860208640 is 4680206847.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2414845425 + ... + 2414845455.

It is an arithmetic number, because the mean of its divisors is an integer number (231611292).

Almost surely, 2^74860208640 is an apocalyptic number.

74860208640 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 74860208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166760130240).

74860208640 is an abundant number, since it is smaller than the sum of its proper divisors (258660051840).

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

74860208640 is a wasteful number, since it uses less digits than its factorization.

74860208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 74860208640 in words is "seventy-four billion, eight hundred sixty million, two hundred eight thousand, six hundred forty".