152673206400 has 1152 divisors, whose sum is σ = 664200613440. Its totient is φ = 34139750400.

The previous prime is 152673206333. The next prime is 152673206417. The reversal of 152673206400 is 4602376251.

152673206400 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 7 + 3 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111196114 + ... + 111197486.

Almost surely, 2^152673206400 is an apocalyptic number.

152673206400 is a gapful number since it is divisible by the number (10) 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 152673206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332100306720).

152673206400 is an abundant number, since it is smaller than the sum of its proper divisors (511527407040).

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

152673206400 is a wasteful number, since it uses less digits than its factorization.

152673206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 152673206400 in words is "one hundred fifty-two billion, six hundred seventy-three million, two hundred six thousand, four hundred".