4795236678960 has 3840 divisors, whose sum is σ = 23087322316800. Its totient is φ = 902961561600.

The previous prime is 4795236678943. The next prime is 4795236678961. The reversal of 4795236678960 is 698766325974.

4795236678960 is a `hidden beast` number, since 4 + 7 + 9 + 523 + 6 + 6 + 7 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4795236678961) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 49435429632 + ... + 49435429728.

It is an arithmetic number, because the mean of its divisors is an integer number (6012323520).

Almost surely, 2^{4795236678960} is an apocalyptic number.

4795236678960 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 4795236678960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11543661158400).

4795236678960 is an abundant number, since it is smaller than the sum of its proper divisors (18292085637840).

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

4795236678960 is a wasteful number, since it uses less digits than its factorization.

4795236678960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 4795236678960 in words is "four trillion, seven hundred ninety-five billion, two hundred thirty-six million, six hundred seventy-eight thousand, nine hundred sixty".