7616749140 has 1080 divisors, whose sum is σ = 33441125256. Its totient is φ = 1437004800.

The previous prime is 7616749123. The next prime is 7616749157. The reversal of 7616749140 is 419476167.

7616749140 is a `hidden beast` number, since 7 + 61 + 67 + 491 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (7616749123) and next prime (7616749157).

It can be written as a sum of positive squares in 4 ways, for example, as 232440516 + 7384308624 = 15246^2 + 85932^2 .

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 359 ways as a sum of consecutive naturals, for example, 124864710 + ... + 124864770.

Almost surely, 2^7616749140 is an apocalyptic number.

7616749140 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 7616749140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16720562628).

7616749140 is an abundant number, since it is smaller than the sum of its proper divisors (25824376116).

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

7616749140 is a wasteful number, since it uses less digits than its factorization.

7616749140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7616749140 is about 87273.9889084944. The cubic root of 7616749140 is about 1967.5384011832.

The spelling of 7616749140 in words is "seven billion, six hundred sixteen million, seven hundred forty-nine thousand, one hundred forty".