7492645440 has 672 divisors, whose sum is σ = 32054231040. Its totient is φ = 1567641600.

The previous prime is 7492645387. The next prime is 7492645481. The reversal of 7492645440 is 445462947.

7492645440 is a `hidden beast` number, since 7 + 49 + 2 + 64 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×7492645440² (a number of 21 digits) contains 22 as substring.

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, 11873925 + ... + 11874555.

Almost surely, 2^7492645440 is an apocalyptic number.

7492645440 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 7492645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16027115520).

7492645440 is an abundant number, since it is smaller than the sum of its proper divisors (24561585600).

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

7492645440 is a wasteful number, since it uses less digits than its factorization.

7492645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 7492645440 is about 86560.0683918399. The cubic root of 7492645440 is about 1956.7937862432.

The spelling of 7492645440 in words is "seven billion, four hundred ninety-two million, six hundred forty-five thousand, four hundred forty".