46829260800 has 1404 divisors, whose sum is σ = 209981494476. Its totient is φ = 9909043200.

The previous prime is 46829260771. The next prime is 46829260831. The reversal of 46829260800 is 806292864.

It can be written as a sum of positive squares in 6 ways, for example, as 3990196224 + 42839064576 = 63168^2 + 206976^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 767692770 + ... + 767692830.

It is an arithmetic number, because the mean of its divisors is an integer number (149559469).

Almost surely, 2^46829260800 is an apocalyptic number.

46829260800 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 46829260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104990747238).

46829260800 is an abundant number, since it is smaller than the sum of its proper divisors (163152233676).

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

46829260800 is a wasteful number, since it uses less digits than its factorization.

46829260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 46829260800 in words is "forty-six billion, eight hundred twenty-nine million, two hundred sixty thousand, eight hundred".