76444920048 has 160 divisors (see below), whose sum is σ = 237308239872. Its totient is φ = 20732025600.

The previous prime is 76444920047. The next prime is 76444920059. The reversal of 76444920048 is 84002944467.

It is a super-2 number, since 2×76444920048² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 76444919979 and 76444920006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76444920047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974613 + ... + 1050123.

Almost surely, 2^76444920048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76444920048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118654119936).

76444920048 is an abundant number, since it is smaller than the sum of its proper divisors (160863319824).

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

76444920048 is a wasteful number, since it uses less digits than its factorization.

76444920048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75683 (or 75677 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 76444920048 in words is "seventy-six billion, four hundred forty-four million, nine hundred twenty thousand, forty-eight".