7477969968 has 180 divisors, whose sum is σ = 24863810400. Its totient is φ = 2091011328.

The previous prime is 7477969871. The next prime is 7477969981. The reversal of 7477969968 is 8699697747.

7477969968 is a `hidden beast` number, since 7 + 477 + 9 + 6 + 99 + 68 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7477969896 and 7477969905.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 320358 + ... + 342906.

It is an arithmetic number, because the mean of its divisors is an integer number (138132280).

Almost surely, 2^7477969968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7477969968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12431905200).

7477969968 is an abundant number, since it is smaller than the sum of its proper divisors (17385840432).

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

7477969968 is a wasteful number, since it uses less digits than its factorization.

7477969968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22624 (or 22608 counting only the distinct ones).

The product of its digits is 288054144, while the sum is 72.

The square root of 7477969968 is about 86475.2563916407. The cubic root of 7477969968 is about 1955.5153930132.

The spelling of 7477969968 in words is "seven billion, four hundred seventy-seven million, nine hundred sixty-nine thousand, nine hundred sixty-eight".