49061168640 has 800 divisors, whose sum is σ = 194325446304. Its totient is φ = 11731599360.

The previous prime is 49061168627. The next prime is 49061168641. The reversal of 49061168640 is 4686116094.

49061168640 is a `hidden beast` number, since 490 + 6 + 116 + 8 + 6 + 40 = 666.

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 (49061168641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 312491442 + ... + 312491598.

Almost surely, 2^49061168640 is an apocalyptic number.

49061168640 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 49061168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97162723152).

49061168640 is an abundant number, since it is smaller than the sum of its proper divisors (145264277664).

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

49061168640 is a wasteful number, since it uses less digits than its factorization.

49061168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 49061168640 in words is "forty-nine billion, sixty-one million, one hundred sixty-eight thousand, six hundred forty".