48074162640 has 480 divisors, whose sum is σ = 189504728064. Its totient is φ = 10007101440.

The previous prime is 48074162599. The next prime is 48074162651. The reversal of 48074162640 is 4626147084.

It is a super-3 number, since 3×48074162640³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 48074162592 and 48074162601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6193642 + ... + 6201398.

Almost surely, 2^48074162640 is an apocalyptic number.

48074162640 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 48074162640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94752364032).

48074162640 is an abundant number, since it is smaller than the sum of its proper divisors (141430565424).

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

48074162640 is a wasteful number, since it uses less digits than its factorization.

48074162640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7835 (or 7822 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 48074162640 in words is "forty-eight billion, seventy-four million, one hundred sixty-two thousand, six hundred forty".