4795749504000 has 5280 divisors, whose sum is σ = 24437267053056. Its totient is φ = 910924185600.

The previous prime is 4795749503959. The next prime is 4795749504079. The reversal of 4795749504000 is 4059475974.

4795749504000 is a `hidden beast` number, since 4 + 7 + 95 + 7 + 49 + 504 + 0 + 0 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 208510847989 + ... + 208510848011.

Almost surely, 2^{4795749504000} is an apocalyptic number.

4795749504000 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 4795749504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12218633526528).

4795749504000 is an abundant number, since it is smaller than the sum of its proper divisors (19641517549056).

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

4795749504000 is a wasteful number, since it uses less digits than its factorization.

4795749504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 4795749504000 in words is "four trillion, seven hundred ninety-five billion, seven hundred forty-nine million, five hundred four thousand".