7649927040 has 768 divisors, whose sum is σ = 30452336640. Its totient is φ = 1625702400.

The previous prime is 7649927017. The next prime is 7649927059. The reversal of 7649927040 is 407299467.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 125408610 + ... + 125408670.

It is an arithmetic number, because the mean of its divisors is an integer number (39651480).

Almost surely, 2^7649927040 is an apocalyptic number.

7649927040 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 7649927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15226168320).

7649927040 is an abundant number, since it is smaller than the sum of its proper divisors (22802409600).

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

7649927040 is a wasteful number, since it uses less digits than its factorization.

7649927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 7649927040 is about 87463.8613371260. The cubic root of 7649927040 is about 1970.3910721808.

The spelling of 7649927040 in words is "seven billion, six hundred forty-nine million, nine hundred twenty-seven thousand, forty".