7457495040 has 480 divisors, whose sum is σ = 27565377840. Its totient is φ = 1934917632.

The previous prime is 7457495021. The next prime is 7457495069. The reversal of 7457495040 is 405947547.

7457495040 is a `hidden beast` number, since 74 + 5 + 74 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7457495040² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 201553902 + ... + 201553938.

Almost surely, 2^7457495040 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 7457495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13782688920).

7457495040 is an abundant number, since it is smaller than the sum of its proper divisors (20107882800).

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

7457495040 is an frugal number, since it uses more digits than its factorization.

7457495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 7457495040 is about 86356.7891945966. The cubic root of 7457495040 is about 1953.7290064462.

The spelling of 7457495040 in words is "seven billion, four hundred fifty-seven million, four hundred ninety-five thousand, forty".