7649994240 has 640 divisors, whose sum is σ = 31567979520. Its totient is φ = 1719926784.

The previous prime is 7649994229. The next prime is 7649994259. The reversal of 7649994240 is 424999467.

7649994240 is a `hidden beast` number, since 76 + 499 + 9 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46932399 + ... + 46932561.

It is an arithmetic number, because the mean of its divisors is an integer number (49324968).

Almost surely, 2^7649994240 is an apocalyptic number.

7649994240 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 7649994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15783989760).

7649994240 is an abundant number, since it is smaller than the sum of its proper divisors (23917985280).

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

7649994240 is a wasteful number, since it uses less digits than its factorization.

7649994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 7649994240 is about 87464.2454949450. The cubic root of 7649994240 is about 1970.3968417301.

The spelling of 7649994240 in words is "seven billion, six hundred forty-nine million, nine hundred ninety-four thousand, two hundred forty".