4752417978 has 384 divisors, whose sum is σ = 14376960000. Its totient is φ = 1120210560.

The previous prime is 4752417919. The next prime is 4752418001. The reversal of 4752417978 is 8797142574.

4752417978 is a `hidden beast` number, since 47 + 524 + 1 + 7 + 9 + 78 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37420551 + ... + 37420677.

It is an arithmetic number, because the mean of its divisors is an integer number (37440000).

Almost surely, 2^4752417978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4752417978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188480000).

4752417978 is an abundant number, since it is smaller than the sum of its proper divisors (9624542022).

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

4752417978 is a wasteful number, since it uses less digits than its factorization.

4752417978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The square root of 4752417978 is about 68937.7833847303. The cubic root of 4752417978 is about 1681.2728894900.

The spelling of 4752417978 in words is "four billion, seven hundred fifty-two million, four hundred seventeen thousand, nine hundred seventy-eight".