7396421760 has 768 divisors, whose sum is σ = 31971663360. Its totient is φ = 1534132224.

The previous prime is 7396421741. The next prime is 7396421789. The reversal of 7396421760 is 671246937.

7396421760 is a `hidden beast` number, since 73 + 96 + 421 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53988412 + ... + 53988548.

It is an arithmetic number, because the mean of its divisors is an integer number (41629770).

Almost surely, 2^7396421760 is an apocalyptic number.

7396421760 is a gapful number since it is divisible by the number (70) 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 7396421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15985831680).

7396421760 is an abundant number, since it is smaller than the sum of its proper divisors (24575241600).

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

7396421760 is a wasteful number, since it uses less digits than its factorization.

7396421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7396421760 is about 86002.4520580663. The cubic root of 7396421760 is about 1948.3810151864.

The spelling of 7396421760 in words is "seven billion, three hundred ninety-six million, four hundred twenty-one thousand, seven hundred sixty".