73027633536 has 512 divisors, whose sum is σ = 255765081600. Its totient is φ = 20221747200.

The previous prime is 73027633529. The next prime is 73027633543. The reversal of 73027633536 is 63533672037.

73027633536 is a `hidden beast` number, since 7 + 3 + 0 + 2 + 7 + 633 + 5 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (73027633529) and next prime (73027633543).

It is a junction number, because it is equal to n+sod(n) for n = 73027633491 and 73027633500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52879566 + ... + 52880946.

It is an arithmetic number, because the mean of its divisors is an integer number (499541175).

Almost surely, 2^73027633536 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 73027633536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127882540800).

73027633536 is an abundant number, since it is smaller than the sum of its proper divisors (182737448064).

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

73027633536 is a wasteful number, since it uses less digits than its factorization.

73027633536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 45.

The spelling of 73027633536 in words is "seventy-three billion, twenty-seven million, six hundred thirty-three thousand, five hundred thirty-six".