46804728960000 has 2200 divisors, whose sum is σ = 191926949591520. Its totient is φ = 11263795200000.

The previous prime is 46804728959959. The next prime is 46804728960037. The reversal of 46804728960000 is 6982740864.

46804728960000 is a `hidden beast` number, since 4 + 6 + 8 + 0 + 4 + 7 + 28 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 120320639806 + ... + 120320640194.

Almost surely, 2^{46804728960000} is an apocalyptic number.

46804728960000 is a gapful number since it is divisible by the number (40) 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 46804728960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95963474795760).

46804728960000 is an abundant number, since it is smaller than the sum of its proper divisors (145122220631520).

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

46804728960000 is a wasteful number, since it uses less digits than its factorization.

46804728960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 46804728960000 in words is "forty-six trillion, eight hundred four billion, seven hundred twenty-eight million, nine hundred sixty thousand".