49073356800 has 450 divisors, whose sum is σ = 189314099702. Its totient is φ = 12079595520.

The previous prime is 49073356763. The next prime is 49073356811. The reversal of 49073356800 is 865337094.

49073356800 is a `hidden beast` number, since 490 + 7 + 33 + 56 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 150994944 + 48922361856 = 12288^2 + 221184^2 .

It is a tau number, because it is divible by the number of its divisors (450).

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3774873594 + ... + 3774873606.

Almost surely, 2^49073356800 is an apocalyptic number.

49073356800 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 49073356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94657049851).

49073356800 is an abundant number, since it is smaller than the sum of its proper divisors (140240742902).

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

49073356800 is an frugal number, since it uses more digits than its factorization.

49073356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 49073356800 in words is "forty-nine billion, seventy-three million, three hundred fifty-six thousand, eight hundred".