73661127840 has 480 divisors, whose sum is σ = 276307282944. Its totient is φ = 18416885760.

The previous prime is 73661127821. The next prime is 73661127871. The reversal of 73661127840 is 4872116637.

73661127840 is a `hidden beast` number, since 7 + 3 + 6 + 611 + 27 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 80856985 + ... + 80857895.

Almost surely, 2^73661127840 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 73661127840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138153641472).

73661127840 is an abundant number, since it is smaller than the sum of its proper divisors (202646155104).

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

73661127840 is a wasteful number, since it uses less digits than its factorization.

73661127840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 73661127840 in words is "seventy-three billion, six hundred sixty-one million, one hundred twenty-seven thousand, eight hundred forty".