4972515840 has 480 divisors, whose sum is σ = 18678179520. Its totient is φ = 1218281472.

The previous prime is 4972515817. The next prime is 4972515901. The reversal of 4972515840 is 485152794.

4972515840 is a `hidden beast` number, since 4 + 97 + 2 + 515 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16196967 + ... + 16197273.

It is an arithmetic number, because the mean of its divisors is an integer number (38912874).

Almost surely, 2^4972515840 is an apocalyptic number.

4972515840 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 4972515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9339089760).

4972515840 is an abundant number, since it is smaller than the sum of its proper divisors (13705663680).

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

4972515840 is a wasteful number, since it uses less digits than its factorization.

4972515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 4972515840 is about 70516.0679561758. The cubic root of 4972515840 is about 1706.8370381133.

The spelling of 4972515840 in words is "four billion, nine hundred seventy-two million, five hundred fifteen thousand, eight hundred forty".