7610423040 has 360 divisors, whose sum is σ = 29711526768. Its totient is φ = 1844674560.

The previous prime is 7610423017. The next prime is 7610423063. The reversal of 7610423040 is 403240167.

7610423040 is a `hidden beast` number, since 7 + 610 + 4 + 2 + 3 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (7610423017) and next prime (7610423063).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 7610422995 and 7610423013.

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, 1137144 + ... + 1143816.

Almost surely, 2^7610423040 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 7610423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14855763384).

7610423040 is an abundant number, since it is smaller than the sum of its proper divisors (22101103728).

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

7610423040 is a wasteful number, since it uses less digits than its factorization.

7610423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6717 (or 6694 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7610423040 is about 87237.7386226855. The cubic root of 7610423040 is about 1966.9935365279.

The spelling of 7610423040 in words is "seven billion, six hundred ten million, four hundred twenty-three thousand, forty".