4937433665472 has 896 divisors, whose sum is σ = 18446101954560. Its totient is φ = 1257887232000.

The previous prime is 4937433665471. The next prime is 4937433665513. The reversal of 4937433665472 is 2745663347394.

4937433665472 is a `hidden beast` number, since 4 + 9 + 3 + 74 + 3 + 36 + 65 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4937433665471) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1993310698 + ... + 1993313174.

It is an arithmetic number, because the mean of its divisors is an integer number (20587167360).

Almost surely, 2^{4937433665472} is an apocalyptic number.

4937433665472 is a gapful number since it is divisible by the number (42) 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 4937433665472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9223050977280).

4937433665472 is an abundant number, since it is smaller than the sum of its proper divisors (13508668289088).

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

4937433665472 is a wasteful number, since it uses less digits than its factorization.

4937433665472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2782 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 63.

The spelling of 4937433665472 in words is "four trillion, nine hundred thirty-seven billion, four hundred thirty-three million, six hundred sixty-five thousand, four hundred seventy-two".