7545657000 has 256 divisors, whose sum is σ = 27458496000. Its totient is φ = 1724486400.

The previous prime is 7545656983. The next prime is 7545657019. The reversal of 7545657000 is 7565457.

It is a self number, because there is not a number n which added to its sum of digits gives 7545657000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1025334 + ... + 1032666.

It is an arithmetic number, because the mean of its divisors is an integer number (107259750).

Almost surely, 2^7545657000 is an apocalyptic number.

7545657000 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 7545657000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13729248000).

7545657000 is an abundant number, since it is smaller than the sum of its proper divisors (19912839000).

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

7545657000 is a wasteful number, since it uses less digits than its factorization.

7545657000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7378 (or 7350 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 39.

The square root of 7545657000 is about 86865.7412332388. The cubic root of 7545657000 is about 1961.3978124095.

The spelling of 7545657000 in words is "seven billion, five hundred forty-five million, six hundred fifty-seven thousand".