7742730240 has 624 divisors, whose sum is σ = 32568464448. Its totient is φ = 1660944384.

The previous prime is 7742730211. The next prime is 7742730251. The reversal of 7742730240 is 420372477.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7742730195 and 7742730204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21933904 + ... + 21934256.

It is an arithmetic number, because the mean of its divisors is an integer number (52193052).

Almost surely, 2^7742730240 is an apocalyptic number.

7742730240 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 7742730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284232224).

7742730240 is an abundant number, since it is smaller than the sum of its proper divisors (24825734208).

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

7742730240 is a wasteful number, since it uses less digits than its factorization.

7742730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 7742730240 is about 87992.7851587845. The cubic root of 7742730240 is about 1978.3268387444.

The spelling of 7742730240 in words is "seven billion, seven hundred forty-two million, seven hundred thirty thousand, two hundred forty".