7381011456 has 396 divisors, whose sum is σ = 26413865712. Its totient is φ = 1943764992.

The previous prime is 7381011413. The next prime is 7381011461. The reversal of 7381011456 is 6541101837.

It is a super-2 number, since 2×7381011456² (a number of 21 digits) contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 7381011456.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10902190 + ... + 10902866.

Almost surely, 2^7381011456 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 7381011456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13206932856).

7381011456 is an abundant number, since it is smaller than the sum of its proper divisors (19032854256).

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

7381011456 is a wasteful number, since it uses less digits than its factorization.

7381011456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 7381011456 is about 85912.8131072426. The cubic root of 7381011456 is about 1947.0269360939.

The spelling of 7381011456 in words is "seven billion, three hundred eighty-one million, eleven thousand, four hundred fifty-six".