7948462080 has 288 divisors, whose sum is σ = 27553387680. Its totient is φ = 1955266560.

The previous prime is 7948462069. The next prime is 7948462097. The reversal of 7948462080 is 802648497.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5190915 + ... + 5192445.

It is an arithmetic number, because the mean of its divisors is an integer number (95671485).

Almost surely, 2^7948462080 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 7948462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13776693840).

7948462080 is an abundant number, since it is smaller than the sum of its proper divisors (19604925600).

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

7948462080 is a wasteful number, since it uses less digits than its factorization.

7948462080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 7948462080 is about 89154.1478563953. The cubic root of 7948462080 is about 1995.6959174144.

The spelling of 7948462080 in words is "seven billion, nine hundred forty-eight million, four hundred sixty-two thousand, eighty".