73408248000 has 896 divisors, whose sum is σ = 293154201600. Its totient is φ = 17915904000.

The previous prime is 73408247971. The next prime is 73408248041. The reversal of 73408248000 is 84280437.

73408248000 is a `hidden beast` number, since 7 + 3 + 408 + 248 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127223712 + ... + 127224288.

Almost surely, 2^73408248000 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 73408248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146577100800).

73408248000 is an abundant number, since it is smaller than the sum of its proper divisors (219745953600).

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

73408248000 is a wasteful number, since it uses less digits than its factorization.

73408248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 73408248000 in words is "seventy-three billion, four hundred eight million, two hundred forty-eight thousand".