49764126720 has 832 divisors, whose sum is σ = 202761455616. Its totient is φ = 10121379840.

The previous prime is 49764126691. The next prime is 49764126751. The reversal of 49764126720 is 2762146794.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49764126720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316968882 + ... + 316969038.

Almost surely, 2^49764126720 is an apocalyptic number.

49764126720 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 49764126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101380727808).

49764126720 is an abundant number, since it is smaller than the sum of its proper divisors (152997328896).

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

49764126720 is a wasteful number, since it uses less digits than its factorization.

49764126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 49764126720 in words is "forty-nine billion, seven hundred sixty-four million, one hundred twenty-six thousand, seven hundred twenty".