7406742000 has 640 divisors, whose sum is σ = 28783872000. Its totient is φ = 1636992000.

The previous prime is 7406741999. The next prime is 7406742023. The reversal of 7406742000 is 2476047.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121421970 + ... + 121422030.

It is an arithmetic number, because the mean of its divisors is an integer number (44974800).

Almost surely, 2^7406742000 is an apocalyptic number.

7406742000 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 7406742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14391936000).

7406742000 is an abundant number, since it is smaller than the sum of its proper divisors (21377130000).

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

7406742000 is a wasteful number, since it uses less digits than its factorization.

7406742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 7406742000 is about 86062.4308278589. The cubic root of 7406742000 is about 1949.2867871688.

The spelling of 7406742000 in words is "seven billion, four hundred six million, seven hundred forty-two thousand".