7402653536 has 192 divisors, whose sum is σ = 16873920000. Its totient is φ = 3175096320.

The previous prime is 7402653493. The next prime is 7402653539. The reversal of 7402653536 is 6353562047.

It is a junction number, because it is equal to n+sod(n) for n = 7402653493 and 7402653502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7402653539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37199165 + ... + 37199363.

It is an arithmetic number, because the mean of its divisors is an integer number (87885000).

Almost surely, 2^7402653536 is an apocalyptic number.

7402653536 is a gapful number since it is divisible by the number (76) 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 7402653536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960000).

7402653536 is an abundant number, since it is smaller than the sum of its proper divisors (9471266464).

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

7402653536 is a wasteful number, since it uses less digits than its factorization.

7402653536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 41.

The square root of 7402653536 is about 86038.6746527397. The cubic root of 7402653536 is about 1948.9280574382.

The spelling of 7402653536 in words is "seven billion, four hundred two million, six hundred fifty-three thousand, five hundred thirty-six".