7426742400 has 1152 divisors, whose sum is σ = 35160428160. Its totient is φ = 1445068800.

The previous prime is 7426742371. The next prime is 7426742437. The reversal of 7426742400 is 42476247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37699102 + ... + 37699298.

It is an arithmetic number, because the mean of its divisors is an integer number (30521205).

Almost surely, 2^7426742400 is an apocalyptic number.

7426742400 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 7426742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17580214080).

7426742400 is an abundant number, since it is smaller than the sum of its proper divisors (27733685760).

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

7426742400 is a wasteful number, since it uses less digits than its factorization.

7426742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 7426742400 is about 86178.5495352527. The cubic root of 7426742400 is about 1951.0397610715.

The spelling of 7426742400 in words is "seven billion, four hundred twenty-six million, seven hundred forty-two thousand, four hundred".