49672162800 has 360 divisors, whose sum is σ = 192042396000. Its totient is φ = 11805050880.

The previous prime is 49672162789. The next prime is 49672162801. The reversal of 49672162800 is 826127694.

It is a happy number.

49672162800 is a `hidden beast` number, since 496 + 7 + 21 + 62 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49672162801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1338901 + ... + 1375499.

It is an arithmetic number, because the mean of its divisors is an integer number (533451100).

Almost surely, 2^49672162800 is an apocalyptic number.

49672162800 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 49672162800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96021198000).

49672162800 is an abundant number, since it is smaller than the sum of its proper divisors (142370233200).

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

49672162800 is a wasteful number, since it uses less digits than its factorization.

49672162800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36665 (or 36651 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 49672162800 in words is "forty-nine billion, six hundred seventy-two million, one hundred sixty-two thousand, eight hundred".