4720678502400 has 1728 divisors, whose sum is σ = 20051987740200. Its totient is φ = 1058285813760.

The previous prime is 4720678502357. The next prime is 4720678502401. The reversal of 4720678502400 is 42058760274.

It is a happy number.

4720678502400 is a `hidden beast` number, since 4 + 72 + 0 + 6 + 78 + 502 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4720678502401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26372505511 + ... + 26372505689.

Almost surely, 2^{4720678502400} is an apocalyptic number.

4720678502400 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 4720678502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10025993870100).

4720678502400 is an abundant number, since it is smaller than the sum of its proper divisors (15331309237800).

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

4720678502400 is a wasteful number, since it uses less digits than its factorization.

4720678502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 4720678502400 in words is "four trillion, seven hundred twenty billion, six hundred seventy-eight million, five hundred two thousand, four hundred".