4757940315648 has 720 divisors, whose sum is σ = 15527231278416. Its totient is φ = 1400545935360.

The previous prime is 4757940315629. The next prime is 4757940315701. The reversal of 4757940315648 is 8465130497574.

4757940315648 is a `hidden beast` number, since 4 + 7 + 5 + 79 + 403 + 156 + 4 + 8 = 666.

It is a super-3 number, since 3×4757940315648³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1757641911 + ... + 1757644617.

Almost surely, 2^{4757940315648} is an apocalyptic number.

4757940315648 is a gapful number since it is divisible by the number (48) 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 4757940315648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763615639208).

4757940315648 is an abundant number, since it is smaller than the sum of its proper divisors (10769290962768).

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

4757940315648 is a wasteful number, since it uses less digits than its factorization.

4757940315648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 4757940315648 in words is "four trillion, seven hundred fifty-seven billion, nine hundred forty million, three hundred fifteen thousand, six hundred forty-eight".