4724775800640 has 1120 divisors, whose sum is σ = 20273228236800. Its totient is φ = 1020355522560.

The previous prime is 4724775800587. The next prime is 4724775800687. The reversal of 4724775800640 is 460085774274.

4724775800640 is a `hidden beast` number, since 472 + 47 + 75 + 8 + 0 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1444442205 + ... + 1444445475.

It is an arithmetic number, because the mean of its divisors is an integer number (18101096640).

Almost surely, 2^{4724775800640} is an apocalyptic number.

4724775800640 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 4724775800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10136614118400).

4724775800640 is an abundant number, since it is smaller than the sum of its proper divisors (15548452436160).

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

4724775800640 is a wasteful number, since it uses less digits than its factorization.

4724775800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 4724775800640 in words is "four trillion, seven hundred twenty-four billion, seven hundred seventy-five million, eight hundred thousand, six hundred forty".