49012761600 has 792 divisors, whose sum is σ = 194580483552. Its totient is φ = 11688345600.

The previous prime is 49012761563. The next prime is 49012761601. The reversal of 49012761600 is 616721094.

49012761600 is a `hidden beast` number, since 49 + 0 + 1 + 2 + 7 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49012761601) 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, 210355084 + ... + 210355316.

Almost surely, 2^49012761600 is an apocalyptic number.

49012761600 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 49012761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97290241776).

49012761600 is an abundant number, since it is smaller than the sum of its proper divisors (145567721952).

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

49012761600 is a wasteful number, since it uses less digits than its factorization.

49012761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 49012761600 in words is "forty-nine billion, twelve million, seven hundred sixty-one thousand, six hundred".