7491435840 has 336 divisors, whose sum is σ = 29596275072. Its totient is φ = 1703743488.

The previous prime is 7491435839. The next prime is 7491435859. The reversal of 7491435840 is 485341947.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×7491435840² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4575502 + ... + 4577138.

It is an arithmetic number, because the mean of its divisors is an integer number (88084152).

Almost surely, 2^7491435840 is an apocalyptic number.

7491435840 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 7491435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798137536).

7491435840 is an abundant number, since it is smaller than the sum of its proper divisors (22104839232).

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

7491435840 is a wasteful number, since it uses less digits than its factorization.

7491435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7491435840 is about 86553.0810543449. The cubic root of 7491435840 is about 1956.6884800838.

The spelling of 7491435840 in words is "seven billion, four hundred ninety-one million, four hundred thirty-five thousand, eight hundred forty".