7468692480 has 704 divisors, whose sum is σ = 29005171200. Its totient is φ = 1839366144.

The previous prime is 7468692443. The next prime is 7468692487. The reversal of 7468692480 is 842968647.

7468692480 is a `hidden beast` number, since 74 + 6 + 8 + 6 + 92 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7468692487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257541106 + ... + 257541134.

Almost surely, 2^7468692480 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 7468692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14502585600).

7468692480 is an abundant number, since it is smaller than the sum of its proper divisors (21536478720).

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

7468692480 is an equidigital number, since it uses as much as digits as its factorization.

7468692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 7468692480 is about 86421.5973006748. The cubic root of 7468692480 is about 1954.7063597890.

The spelling of 7468692480 in words is "seven billion, four hundred sixty-eight million, six hundred ninety-two thousand, four hundred eighty".