7534952640 has 224 divisors, whose sum is σ = 26842882560. Its totient is φ = 1989577728.

The previous prime is 7534952629. The next prime is 7534952657. The reversal of 7534952640 is 462594357.

7534952640 is a `hidden beast` number, since 7 + 534 + 9 + 52 + 64 + 0 = 666.

It is a super-2 number, since 2×7534952640² (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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 885687 + ... + 894153.

Almost surely, 2^7534952640 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 7534952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13421441280).

7534952640 is an abundant number, since it is smaller than the sum of its proper divisors (19307929920).

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

7534952640 is a wasteful number, since it uses less digits than its factorization.

7534952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8596 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 7534952640 is about 86804.1049720576. The cubic root of 7534952640 is about 1960.4698859533.

The spelling of 7534952640 in words is "seven billion, five hundred thirty-four million, nine hundred fifty-two thousand, six hundred forty".