48692797440 has 336 divisors, whose sum is σ = 181267803072. Its totient is φ = 11128406016.

The previous prime is 48692797421. The next prime is 48692797453. The reversal of 48692797440 is 4479729684.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6017077 + ... + 6025163.

Almost surely, 2^48692797440 is an apocalyptic number.

48692797440 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 48692797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90633901536).

48692797440 is an abundant number, since it is smaller than the sum of its proper divisors (132575005632).

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

48692797440 is an equidigital number, since it uses as much as digits as its factorization.

48692797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8135 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 48692797440 in words is "forty-eight billion, six hundred ninety-two million, seven hundred ninety-seven thousand, four hundred forty".