73601627408 has 80 divisors (see below), whose sum is σ = 149297527680. Its totient is φ = 35105107968.

The previous prime is 73601627357. The next prime is 73601627413. The reversal of 73601627408 is 80472610637.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37040591 + ... + 37042577.

It is an arithmetic number, because the mean of its divisors is an integer number (1866219096).

Almost surely, 2^73601627408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73601627408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74648763840).

73601627408 is an abundant number, since it is smaller than the sum of its proper divisors (75695900272).

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

73601627408 is a wasteful number, since it uses less digits than its factorization.

73601627408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 73601627408 in words is "seventy-three billion, six hundred one million, six hundred twenty-seven thousand, four hundred eight".