7620153440 has 96 divisors (see below), whose sum is σ = 19421609760. Its totient is φ = 2814582784.

The previous prime is 7620153439. The next prime is 7620153449. The reversal of 7620153440 is 443510267.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 7620153397 and 7620153406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7620153449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117731 + ... + 170589.

It is an arithmetic number, because the mean of its divisors is an integer number (202308435).

Almost surely, 2^7620153440 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 7620153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9710804880).

7620153440 is an abundant number, since it is smaller than the sum of its proper divisors (11801456320).

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

7620153440 is a wasteful number, since it uses less digits than its factorization.

7620153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52944 (or 52936 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 7620153440 is about 87293.4902498462. The cubic root of 7620153440 is about 1967.8314874331.

The spelling of 7620153440 in words is "seven billion, six hundred twenty million, one hundred fifty-three thousand, four hundred forty".