7954474752 has 252 divisors, whose sum is σ = 27211240560. Its totient is φ = 2272333824.

The previous prime is 7954474727. The next prime is 7954474763. The reversal of 7954474752 is 2574744597.

7954474752 is a `hidden beast` number, since 7 + 9 + 544 + 7 + 47 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 27 ways as a sum of consecutive naturals, for example, 1303324 + ... + 1309412.

Almost surely, 2^7954474752 is an apocalyptic number.

7954474752 is a gapful number since it is divisible by the number (72) 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 7954474752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13605620280).

7954474752 is an abundant number, since it is smaller than the sum of its proper divisors (19256765808).

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

7954474752 is an frugal number, since it uses more digits than its factorization.

7954474752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6130 (or 6101 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 54.

The square root of 7954474752 is about 89187.8621338128. The cubic root of 7954474752 is about 1996.1990101476.

The spelling of 7954474752 in words is "seven billion, nine hundred fifty-four million, four hundred seventy-four thousand, seven hundred fifty-two".