73866847040 has 224 divisors, whose sum is σ = 202980121344. Its totient is φ = 25080791040.

The previous prime is 73866847037. The next prime is 73866847057. The reversal of 73866847040 is 4074866837.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×73866847040² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158172887 + ... + 158173353.

It is an arithmetic number, because the mean of its divisors is an integer number (906161256).

Almost surely, 2^73866847040 is an apocalyptic number.

73866847040 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 73866847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101490060672).

73866847040 is an abundant number, since it is smaller than the sum of its proper divisors (129113274304).

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

73866847040 is a wasteful number, since it uses less digits than its factorization.

73866847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 53.

The spelling of 73866847040 in words is "seventy-three billion, eight hundred sixty-six million, eight hundred forty-seven thousand, forty".