49130864640 has 768 divisors, whose sum is σ = 200952329760. Its totient is φ = 10947133440.

The previous prime is 49130864617. The next prime is 49130864681. The reversal of 49130864640 is 4646803194.

49130864640 is a `hidden beast` number, since 491 + 3 + 0 + 86 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 47 ways as a sum of consecutive naturals, for example, 210861964 + ... + 210862196.

Almost surely, 2^49130864640 is an apocalyptic number.

49130864640 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 49130864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100476164880).

49130864640 is an abundant number, since it is smaller than the sum of its proper divisors (151821465120).

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

49130864640 is a wasteful number, since it uses less digits than its factorization.

49130864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 49130864640 in words is "forty-nine billion, one hundred thirty million, eight hundred sixty-four thousand, six hundred forty".